[{"intvolume":"        54","page":"4806-4864","citation":{"short":"Y. Tao, M. Winkler, SIAM Journal on Mathematical Analysis 54 (2022) 4806–4864.","bibtex":"@article{Tao_Winkler_2022, title={Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System}, volume={54}, DOI={<a href=\"https://doi.org/10.1137/21m1449841\">10.1137/21m1449841</a>}, number={4}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={4806–4864} }","mla":"Tao, Youshan, and Michael Winkler. “Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 54, no. 4, Society for Industrial &#38; Applied Mathematics (SIAM), 2022, pp. 4806–64, doi:<a href=\"https://doi.org/10.1137/21m1449841\">10.1137/21m1449841</a>.","apa":"Tao, Y., &#38; Winkler, M. (2022). Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System. <i>SIAM Journal on Mathematical Analysis</i>, <i>54</i>(4), 4806–4864. <a href=\"https://doi.org/10.1137/21m1449841\">https://doi.org/10.1137/21m1449841</a>","chicago":"Tao, Youshan, and Michael Winkler. “Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System.” <i>SIAM Journal on Mathematical Analysis</i> 54, no. 4 (2022): 4806–64. <a href=\"https://doi.org/10.1137/21m1449841\">https://doi.org/10.1137/21m1449841</a>.","ieee":"Y. Tao and M. Winkler, “Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 54, no. 4, pp. 4806–4864, 2022, doi: <a href=\"https://doi.org/10.1137/21m1449841\">10.1137/21m1449841</a>.","ama":"Tao Y, Winkler M. Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System. <i>SIAM Journal on Mathematical Analysis</i>. 2022;54(4):4806-4864. doi:<a href=\"https://doi.org/10.1137/21m1449841\">10.1137/21m1449841</a>"},"year":"2022","issue":"4","publication_identifier":{"issn":["0036-1410","1095-7154"]},"publication_status":"published","doi":"10.1137/21m1449841","title":"Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System","volume":54,"author":[{"first_name":"Youshan","full_name":"Tao, Youshan","last_name":"Tao"},{"last_name":"Winkler","full_name":"Winkler, Michael","id":"31496","first_name":"Michael"}],"date_created":"2025-12-18T19:24:16Z","publisher":"Society for Industrial & Applied Mathematics (SIAM)","date_updated":"2025-12-18T20:09:05Z","status":"public","publication":"SIAM Journal on Mathematical Analysis","type":"journal_article","language":[{"iso":"eng"}],"user_id":"31496","_id":"63299"},{"_id":"63298","user_id":"31496","language":[{"iso":"eng"}],"type":"journal_article","publication":"Communications in Partial Differential Equations","status":"public","date_updated":"2025-12-18T20:08:58Z","publisher":"Informa UK Limited","author":[{"full_name":"Stevens, Angela","last_name":"Stevens","first_name":"Angela"},{"first_name":"Michael","id":"31496","full_name":"Winkler, Michael","last_name":"Winkler"}],"date_created":"2025-12-18T19:23:52Z","volume":47,"title":"Taxis-driven persistent localization in a degenerate Keller-Segel system","doi":"10.1080/03605302.2022.2122836","publication_status":"published","publication_identifier":{"issn":["0360-5302","1532-4133"]},"issue":"12","year":"2022","citation":{"ieee":"A. Stevens and M. Winkler, “Taxis-driven persistent localization in a degenerate Keller-Segel system,” <i>Communications in Partial Differential Equations</i>, vol. 47, no. 12, pp. 2341–2362, 2022, doi: <a href=\"https://doi.org/10.1080/03605302.2022.2122836\">10.1080/03605302.2022.2122836</a>.","chicago":"Stevens, Angela, and Michael Winkler. “Taxis-Driven Persistent Localization in a Degenerate Keller-Segel System.” <i>Communications in Partial Differential Equations</i> 47, no. 12 (2022): 2341–62. <a href=\"https://doi.org/10.1080/03605302.2022.2122836\">https://doi.org/10.1080/03605302.2022.2122836</a>.","ama":"Stevens A, Winkler M. Taxis-driven persistent localization in a degenerate Keller-Segel system. <i>Communications in Partial Differential Equations</i>. 2022;47(12):2341-2362. doi:<a href=\"https://doi.org/10.1080/03605302.2022.2122836\">10.1080/03605302.2022.2122836</a>","apa":"Stevens, A., &#38; Winkler, M. (2022). Taxis-driven persistent localization in a degenerate Keller-Segel system. <i>Communications in Partial Differential Equations</i>, <i>47</i>(12), 2341–2362. <a href=\"https://doi.org/10.1080/03605302.2022.2122836\">https://doi.org/10.1080/03605302.2022.2122836</a>","bibtex":"@article{Stevens_Winkler_2022, title={Taxis-driven persistent localization in a degenerate Keller-Segel system}, volume={47}, DOI={<a href=\"https://doi.org/10.1080/03605302.2022.2122836\">10.1080/03605302.2022.2122836</a>}, number={12}, journal={Communications in Partial Differential Equations}, publisher={Informa UK Limited}, author={Stevens, Angela and Winkler, Michael}, year={2022}, pages={2341–2362} }","short":"A. Stevens, M. Winkler, Communications in Partial Differential Equations 47 (2022) 2341–2362.","mla":"Stevens, Angela, and Michael Winkler. “Taxis-Driven Persistent Localization in a Degenerate Keller-Segel System.” <i>Communications in Partial Differential Equations</i>, vol. 47, no. 12, Informa UK Limited, 2022, pp. 2341–62, doi:<a href=\"https://doi.org/10.1080/03605302.2022.2122836\">10.1080/03605302.2022.2122836</a>."},"page":"2341-2362","intvolume":"        47"},{"publication":"Journal of Dynamics and Differential Equations","type":"journal_article","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>In a ball <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\Omega =B_R(0)\\subset \\mathbb {R}^n$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>Ω</mml:mi>\r\n                    <mml:mo>=</mml:mo>\r\n                    <mml:msub>\r\n                      <mml:mi>B</mml:mi>\r\n                      <mml:mi>R</mml:mi>\r\n                    </mml:msub>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mn>0</mml:mn>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                    <mml:mo>⊂</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mrow>\r\n                        <mml:mi>R</mml:mi>\r\n                      </mml:mrow>\r\n                      <mml:mi>n</mml:mi>\r\n                    </mml:msup>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$n\\ge 2$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>n</mml:mi>\r\n                    <mml:mo>≥</mml:mo>\r\n                    <mml:mn>2</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, the chemotaxis system <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l}u_t = \\nabla \\cdot \\big ( D(u) \\nabla u \\big ) - \\nabla \\cdot \\big ( uS(u)\\nabla v\\big ), \\\\ 0 = \\Delta v - \\mu + u, \\qquad \\mu =\\frac{1}{|\\Omega |} \\int _\\Omega u, \\end{array} \\right. \\qquad \\qquad (\\star ) \\end{aligned}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n                          <mml:mrow>\r\n                            <mml:mfenced>\r\n                              <mml:mrow>\r\n                                <mml:mtable>\r\n                                  <mml:mtr>\r\n                                    <mml:mtd>\r\n                                      <mml:mrow>\r\n                                        <mml:msub>\r\n                                          <mml:mi>u</mml:mi>\r\n                                          <mml:mi>t</mml:mi>\r\n                                        </mml:msub>\r\n                                        <mml:mo>=</mml:mo>\r\n                                        <mml:mi>∇</mml:mi>\r\n                                        <mml:mo>·</mml:mo>\r\n                                        <mml:mrow>\r\n                                          <mml:mo>(</mml:mo>\r\n                                        </mml:mrow>\r\n                                        <mml:mi>D</mml:mi>\r\n                                        <mml:mrow>\r\n                                          <mml:mo>(</mml:mo>\r\n                                          <mml:mi>u</mml:mi>\r\n                                          <mml:mo>)</mml:mo>\r\n                                        </mml:mrow>\r\n                                        <mml:mi>∇</mml:mi>\r\n                                        <mml:mi>u</mml:mi>\r\n                                        <mml:mrow>\r\n                                          <mml:mo>)</mml:mo>\r\n                                        </mml:mrow>\r\n                                        <mml:mo>-</mml:mo>\r\n                                        <mml:mi>∇</mml:mi>\r\n                                        <mml:mo>·</mml:mo>\r\n                                        <mml:mrow>\r\n                                          <mml:mo>(</mml:mo>\r\n                                        </mml:mrow>\r\n                                        <mml:mi>u</mml:mi>\r\n                                        <mml:mi>S</mml:mi>\r\n                                        <mml:mrow>\r\n                                          <mml:mo>(</mml:mo>\r\n                                          <mml:mi>u</mml:mi>\r\n                                          <mml:mo>)</mml:mo>\r\n                                        </mml:mrow>\r\n                                        <mml:mi>∇</mml:mi>\r\n                                        <mml:mi>v</mml:mi>\r\n                                        <mml:mrow>\r\n                                          <mml:mo>)</mml:mo>\r\n                                        </mml:mrow>\r\n                                        <mml:mo>,</mml:mo>\r\n                                      </mml:mrow>\r\n                                    </mml:mtd>\r\n                                  </mml:mtr>\r\n                                  <mml:mtr>\r\n                                    <mml:mtd>\r\n                                      <mml:mrow>\r\n                                        <mml:mrow/>\r\n                                        <mml:mn>0</mml:mn>\r\n                                        <mml:mo>=</mml:mo>\r\n                                        <mml:mi>Δ</mml:mi>\r\n                                        <mml:mi>v</mml:mi>\r\n                                        <mml:mo>-</mml:mo>\r\n                                        <mml:mi>μ</mml:mi>\r\n                                        <mml:mo>+</mml:mo>\r\n                                        <mml:mi>u</mml:mi>\r\n                                        <mml:mo>,</mml:mo>\r\n                                        <mml:mspace/>\r\n                                        <mml:mi>μ</mml:mi>\r\n                                        <mml:mo>=</mml:mo>\r\n                                        <mml:mfrac>\r\n                                          <mml:mn>1</mml:mn>\r\n                                          <mml:mrow>\r\n                                            <mml:mo>|</mml:mo>\r\n                                            <mml:mi>Ω</mml:mi>\r\n                                            <mml:mo>|</mml:mo>\r\n                                          </mml:mrow>\r\n                                        </mml:mfrac>\r\n                                        <mml:msub>\r\n                                          <mml:mo>∫</mml:mo>\r\n                                          <mml:mi>Ω</mml:mi>\r\n                                        </mml:msub>\r\n                                        <mml:mi>u</mml:mi>\r\n                                        <mml:mo>,</mml:mo>\r\n                                      </mml:mrow>\r\n                                    </mml:mtd>\r\n                                  </mml:mtr>\r\n                                </mml:mtable>\r\n                              </mml:mrow>\r\n                            </mml:mfenced>\r\n                            <mml:mspace/>\r\n                            <mml:mspace/>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mo>⋆</mml:mo>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                          </mml:mrow>\r\n                        </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>is considered under no-flux boundary conditions, with a focus on nonlinearities <jats:inline-formula><jats:alternatives><jats:tex-math>$$S\\in C^2([0,\\infty ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>S</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mi>C</mml:mi>\r\n                      <mml:mn>2</mml:mn>\r\n                    </mml:msup>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mrow>\r\n                        <mml:mo>[</mml:mo>\r\n                        <mml:mn>0</mml:mn>\r\n                        <mml:mo>,</mml:mo>\r\n                        <mml:mi>∞</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> which exhibit super-algebraically fast decay in the sense that with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$K_S&gt;0, \\beta \\in [0,1)$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mi>K</mml:mi>\r\n                      <mml:mi>S</mml:mi>\r\n                    </mml:msub>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n                    <mml:mo>,</mml:mo>\r\n                    <mml:mi>β</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:mrow>\r\n                      <mml:mo>[</mml:mo>\r\n                      <mml:mn>0</mml:mn>\r\n                      <mml:mo>,</mml:mo>\r\n                      <mml:mn>1</mml:mn>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\xi _0&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mi>ξ</mml:mi>\r\n                      <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} S(\\xi )&gt;0 \\quad \\text{ and } \\quad S'(\\xi ) \\le -K_S\\xi ^{-\\beta } S(\\xi ) \\qquad \\text{ for } \\text{ all } \\xi \\ge \\xi _0. \\end{aligned}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n                          <mml:mrow>\r\n                            <mml:mi>S</mml:mi>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>ξ</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mspace/>\r\n                            <mml:mspace/>\r\n                            <mml:mtext>and</mml:mtext>\r\n                            <mml:mspace/>\r\n                            <mml:mspace/>\r\n                            <mml:msup>\r\n                              <mml:mi>S</mml:mi>\r\n                              <mml:mo>′</mml:mo>\r\n                            </mml:msup>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>ξ</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:mo>-</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n                              <mml:mi>S</mml:mi>\r\n                            </mml:msub>\r\n                            <mml:msup>\r\n                              <mml:mi>ξ</mml:mi>\r\n                              <mml:mrow>\r\n                                <mml:mo>-</mml:mo>\r\n                                <mml:mi>β</mml:mi>\r\n                              </mml:mrow>\r\n                            </mml:msup>\r\n                            <mml:mi>S</mml:mi>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>ξ</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mspace/>\r\n                            <mml:mspace/>\r\n                            <mml:mtext>for</mml:mtext>\r\n                            <mml:mspace/>\r\n                            <mml:mspace/>\r\n                            <mml:mtext>all</mml:mtext>\r\n                            <mml:mspace/>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>ξ</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msub>\r\n                            <mml:mo>.</mml:mo>\r\n                          </mml:mrow>\r\n                        </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>It is, inter alia, shown that if furthermore <jats:inline-formula><jats:alternatives><jats:tex-math>$$D\\in C^2((0,\\infty ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>D</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mi>C</mml:mi>\r\n                      <mml:mn>2</mml:mn>\r\n                    </mml:msup>\r\n                    <mml:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mrow>\r\n                        <mml:mo>(</mml:mo>\r\n                        <mml:mn>0</mml:mn>\r\n                        <mml:mo>,</mml:mo>\r\n                        <mml:mi>∞</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                      <mml:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> is positive and suitably small in relation to <jats:italic>S</jats:italic> by satisfying <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\frac{\\xi S(\\xi )}{D(\\xi )} \\ge K_{SD}\\xi ^\\lambda \\qquad \\text{ for } \\text{ all } \\xi \\ge \\xi _0 \\end{aligned}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n                          <mml:mrow>\r\n                            <mml:mfrac>\r\n                              <mml:mrow>\r\n                                <mml:mi>ξ</mml:mi>\r\n                                <mml:mi>S</mml:mi>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>ξ</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mrow>\r\n                                <mml:mi>D</mml:mi>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>ξ</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                            </mml:mfrac>\r\n                            <mml:mo>≥</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>K</mml:mi>\r\n                              <mml:mrow>\r\n                                <mml:mi>SD</mml:mi>\r\n                              </mml:mrow>\r\n                            </mml:msub>\r\n                            <mml:msup>\r\n                              <mml:mi>ξ</mml:mi>\r\n                              <mml:mi>λ</mml:mi>\r\n                            </mml:msup>\r\n                            <mml:mspace/>\r\n                            <mml:mspace/>\r\n                            <mml:mtext>for</mml:mtext>\r\n                            <mml:mspace/>\r\n                            <mml:mspace/>\r\n                            <mml:mtext>all</mml:mtext>\r\n                            <mml:mspace/>\r\n                            <mml:mi>ξ</mml:mi>\r\n                            <mml:mo>≥</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mi>ξ</mml:mi>\r\n                              <mml:mn>0</mml:mn>\r\n                            </mml:msub>\r\n                          </mml:mrow>\r\n                        </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$K_{SD}&gt;0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:msub>\r\n                      <mml:mi>K</mml:mi>\r\n                      <mml:mrow>\r\n                        <mml:mi>SD</mml:mi>\r\n                      </mml:mrow>\r\n                    </mml:msub>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mn>0</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\lambda &gt;\\frac{2}{n}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>λ</mml:mi>\r\n                    <mml:mo>&gt;</mml:mo>\r\n                    <mml:mfrac>\r\n                      <mml:mn>2</mml:mn>\r\n                      <mml:mi>n</mml:mi>\r\n                    </mml:mfrac>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, then throughout a considerably large set of initial data, (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\star $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mo>⋆</mml:mo>\r\n                </mml:math></jats:alternatives></jats:inline-formula>) admits global classical solutions (<jats:italic>u</jats:italic>, <jats:italic>v</jats:italic>) fulfilling <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\frac{z(t)}{C} \\le \\Vert u(\\cdot ,t)\\Vert _{L^\\infty (\\Omega )} \\le Cz(t) \\qquad \\text{ for } \\text{ all } t&gt;0, \\end{aligned}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n                          <mml:mrow>\r\n                            <mml:mfrac>\r\n                              <mml:mrow>\r\n                                <mml:mi>z</mml:mi>\r\n                                <mml:mo>(</mml:mo>\r\n                                <mml:mi>t</mml:mi>\r\n                                <mml:mo>)</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mi>C</mml:mi>\r\n                            </mml:mfrac>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:msub>\r\n                              <mml:mrow>\r\n                                <mml:mo>‖</mml:mo>\r\n                                <mml:mi>u</mml:mi>\r\n                                <mml:mrow>\r\n                                  <mml:mo>(</mml:mo>\r\n                                  <mml:mo>·</mml:mo>\r\n                                  <mml:mo>,</mml:mo>\r\n                                  <mml:mi>t</mml:mi>\r\n                                  <mml:mo>)</mml:mo>\r\n                                </mml:mrow>\r\n                                <mml:mo>‖</mml:mo>\r\n                              </mml:mrow>\r\n                              <mml:mrow>\r\n                                <mml:msup>\r\n                                  <mml:mi>L</mml:mi>\r\n                                  <mml:mi>∞</mml:mi>\r\n                                </mml:msup>\r\n                                <mml:mrow>\r\n                                  <mml:mo>(</mml:mo>\r\n                                  <mml:mi>Ω</mml:mi>\r\n                                  <mml:mo>)</mml:mo>\r\n                                </mml:mrow>\r\n                              </mml:mrow>\r\n                            </mml:msub>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:mi>C</mml:mi>\r\n                            <mml:mi>z</mml:mi>\r\n                            <mml:mrow>\r\n                              <mml:mo>(</mml:mo>\r\n                              <mml:mi>t</mml:mi>\r\n                              <mml:mo>)</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mspace/>\r\n                            <mml:mspace/>\r\n                            <mml:mtext>for</mml:mtext>\r\n                            <mml:mspace/>\r\n                            <mml:mspace/>\r\n                            <mml:mtext>all</mml:mtext>\r\n                            <mml:mspace/>\r\n                            <mml:mi>t</mml:mi>\r\n                            <mml:mo>&gt;</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mo>,</mml:mo>\r\n                          </mml:mrow>\r\n                        </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>with some <jats:inline-formula><jats:alternatives><jats:tex-math>$$C=C^{(u,v)}\\ge 1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>C</mml:mi>\r\n                    <mml:mo>=</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mi>C</mml:mi>\r\n                      <mml:mrow>\r\n                        <mml:mo>(</mml:mo>\r\n                        <mml:mi>u</mml:mi>\r\n                        <mml:mo>,</mml:mo>\r\n                        <mml:mi>v</mml:mi>\r\n                        <mml:mo>)</mml:mo>\r\n                      </mml:mrow>\r\n                    </mml:msup>\r\n                    <mml:mo>≥</mml:mo>\r\n                    <mml:mn>1</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, where <jats:italic>z</jats:italic> denotes the solution of <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l}z'(t) = z^2(t) \\cdot S\\big ( z(t)\\big ), \\qquad t&gt;0, \\\\ z(0)=\\xi _0, \\end{array} \\right. \\end{aligned}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mtable>\r\n                      <mml:mtr>\r\n                        <mml:mtd>\r\n                          <mml:mfenced>\r\n                            <mml:mrow>\r\n                              <mml:mtable>\r\n                                <mml:mtr>\r\n                                  <mml:mtd>\r\n                                    <mml:mrow>\r\n                                      <mml:msup>\r\n                                        <mml:mi>z</mml:mi>\r\n                                        <mml:mo>′</mml:mo>\r\n                                      </mml:msup>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>t</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mo>=</mml:mo>\r\n                                      <mml:msup>\r\n                                        <mml:mi>z</mml:mi>\r\n                                        <mml:mn>2</mml:mn>\r\n                                      </mml:msup>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>t</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mo>·</mml:mo>\r\n                                      <mml:mi>S</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mi>z</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mi>t</mml:mi>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mo>,</mml:mo>\r\n                                      <mml:mspace/>\r\n                                      <mml:mi>t</mml:mi>\r\n                                      <mml:mo>&gt;</mml:mo>\r\n                                      <mml:mn>0</mml:mn>\r\n                                      <mml:mo>,</mml:mo>\r\n                                    </mml:mrow>\r\n                                  </mml:mtd>\r\n                                </mml:mtr>\r\n                                <mml:mtr>\r\n                                  <mml:mtd>\r\n                                    <mml:mrow>\r\n                                      <mml:mrow/>\r\n                                      <mml:mi>z</mml:mi>\r\n                                      <mml:mrow>\r\n                                        <mml:mo>(</mml:mo>\r\n                                        <mml:mn>0</mml:mn>\r\n                                        <mml:mo>)</mml:mo>\r\n                                      </mml:mrow>\r\n                                      <mml:mo>=</mml:mo>\r\n                                      <mml:msub>\r\n                                        <mml:mi>ξ</mml:mi>\r\n                                        <mml:mn>0</mml:mn>\r\n                                      </mml:msub>\r\n                                      <mml:mo>,</mml:mo>\r\n                                    </mml:mrow>\r\n                                  </mml:mtd>\r\n                                </mml:mtr>\r\n                              </mml:mtable>\r\n                            </mml:mrow>\r\n                          </mml:mfenced>\r\n                        </mml:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>which is seen to exist globally, and to satisfy <jats:inline-formula><jats:alternatives><jats:tex-math>$$z(t)\\rightarrow +\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>z</mml:mi>\r\n                    <mml:mo>(</mml:mo>\r\n                    <mml:mi>t</mml:mi>\r\n                    <mml:mo>)</mml:mo>\r\n                    <mml:mo>→</mml:mo>\r\n                    <mml:mo>+</mml:mo>\r\n                    <mml:mi>∞</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> as <jats:inline-formula><jats:alternatives><jats:tex-math>$$t\\rightarrow \\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>t</mml:mi>\r\n                    <mml:mo>→</mml:mo>\r\n                    <mml:mi>∞</mml:mi>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>. As particular examples, exponentially and doubly exponentially decaying <jats:italic>S</jats:italic> are found to imply corresponding infinite-time blow-up properties in (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\star $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mo>⋆</mml:mo>\r\n                </mml:math></jats:alternatives></jats:inline-formula>) at logarithmic and doubly logarithmic rates, respectively.</jats:p>"}],"status":"public","_id":"63266","user_id":"31496","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1040-7294","1572-9222"]},"publication_status":"published","issue":"2","year":"2022","page":"1677-1702","intvolume":"        36","citation":{"apa":"Winkler, M. (2022). Slow Grow-up in a Quasilinear Keller–Segel System. <i>Journal of Dynamics and Differential Equations</i>, <i>36</i>(2), 1677–1702. <a href=\"https://doi.org/10.1007/s10884-022-10167-w\">https://doi.org/10.1007/s10884-022-10167-w</a>","short":"M. Winkler, Journal of Dynamics and Differential Equations 36 (2022) 1677–1702.","bibtex":"@article{Winkler_2022, title={Slow Grow-up in a Quasilinear Keller–Segel System}, volume={36}, DOI={<a href=\"https://doi.org/10.1007/s10884-022-10167-w\">10.1007/s10884-022-10167-w</a>}, number={2}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2022}, pages={1677–1702} }","mla":"Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” <i>Journal of Dynamics and Differential Equations</i>, vol. 36, no. 2, Springer Science and Business Media LLC, 2022, pp. 1677–702, doi:<a href=\"https://doi.org/10.1007/s10884-022-10167-w\">10.1007/s10884-022-10167-w</a>.","ama":"Winkler M. Slow Grow-up in a Quasilinear Keller–Segel System. <i>Journal of Dynamics and Differential Equations</i>. 2022;36(2):1677-1702. doi:<a href=\"https://doi.org/10.1007/s10884-022-10167-w\">10.1007/s10884-022-10167-w</a>","chicago":"Winkler, Michael. “Slow Grow-up in a Quasilinear Keller–Segel System.” <i>Journal of Dynamics and Differential Equations</i> 36, no. 2 (2022): 1677–1702. <a href=\"https://doi.org/10.1007/s10884-022-10167-w\">https://doi.org/10.1007/s10884-022-10167-w</a>.","ieee":"M. Winkler, “Slow Grow-up in a Quasilinear Keller–Segel System,” <i>Journal of Dynamics and Differential Equations</i>, vol. 36, no. 2, pp. 1677–1702, 2022, doi: <a href=\"https://doi.org/10.1007/s10884-022-10167-w\">10.1007/s10884-022-10167-w</a>."},"publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-18T20:10:14Z","volume":36,"date_created":"2025-12-18T19:10:32Z","author":[{"first_name":"Michael","last_name":"Winkler","id":"31496","full_name":"Winkler, Michael"}],"title":"Slow Grow-up in a Quasilinear Keller–Segel System","doi":"10.1007/s10884-022-10167-w"},{"status":"public","type":"journal_article","publication":"Journal of Differential Equations","language":[{"iso":"eng"}],"user_id":"31496","_id":"63272","citation":{"chicago":"Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary Dimension.” <i>Journal of Differential Equations</i> 343 (2022): 390–418. <a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">https://doi.org/10.1016/j.jde.2022.10.022</a>.","ieee":"Y. Tao and M. Winkler, “Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension,” <i>Journal of Differential Equations</i>, vol. 343, pp. 390–418, 2022, doi: <a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">10.1016/j.jde.2022.10.022</a>.","ama":"Tao Y, Winkler M. Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. <i>Journal of Differential Equations</i>. 2022;343:390-418. doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">10.1016/j.jde.2022.10.022</a>","apa":"Tao, Y., &#38; Winkler, M. (2022). Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension. <i>Journal of Differential Equations</i>, <i>343</i>, 390–418. <a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">https://doi.org/10.1016/j.jde.2022.10.022</a>","mla":"Tao, Youshan, and Michael Winkler. “Global Solutions to a Keller-Segel-Consumption System Involving Singularly Signal-Dependent Motilities in Domains of Arbitrary Dimension.” <i>Journal of Differential Equations</i>, vol. 343, Elsevier BV, 2022, pp. 390–418, doi:<a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">10.1016/j.jde.2022.10.022</a>.","bibtex":"@article{Tao_Winkler_2022, title={Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension}, volume={343}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2022.10.022\">10.1016/j.jde.2022.10.022</a>}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Tao, Youshan and Winkler, Michael}, year={2022}, pages={390–418} }","short":"Y. Tao, M. Winkler, Journal of Differential Equations 343 (2022) 390–418."},"page":"390-418","intvolume":"       343","year":"2022","publication_status":"published","publication_identifier":{"issn":["0022-0396"]},"doi":"10.1016/j.jde.2022.10.022","title":"Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension","author":[{"first_name":"Youshan","full_name":"Tao, Youshan","last_name":"Tao"},{"first_name":"Michael","last_name":"Winkler","id":"31496","full_name":"Winkler, Michael"}],"date_created":"2025-12-18T19:13:04Z","volume":343,"date_updated":"2025-12-18T20:11:02Z","publisher":"Elsevier BV"},{"volume":226,"author":[{"first_name":"Laurent","full_name":"Desvillettes, Laurent","last_name":"Desvillettes"},{"full_name":"Laurençot, Philippe","last_name":"Laurençot","first_name":"Philippe"},{"first_name":"Ariane","full_name":"Trescases, Ariane","last_name":"Trescases"},{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_created":"2025-12-18T19:11:16Z","date_updated":"2025-12-18T20:10:32Z","publisher":"Elsevier BV","doi":"10.1016/j.na.2022.113153","title":"Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing","publication_identifier":{"issn":["0362-546X"]},"publication_status":"published","intvolume":"       226","citation":{"short":"L. Desvillettes, P. Laurençot, A. Trescases, M. Winkler, Nonlinear Analysis 226 (2022).","bibtex":"@article{Desvillettes_Laurençot_Trescases_Winkler_2022, title={Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing}, volume={226}, DOI={<a href=\"https://doi.org/10.1016/j.na.2022.113153\">10.1016/j.na.2022.113153</a>}, number={113153}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Desvillettes, Laurent and Laurençot, Philippe and Trescases, Ariane and Winkler, Michael}, year={2022} }","mla":"Desvillettes, Laurent, et al. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” <i>Nonlinear Analysis</i>, vol. 226, 113153, Elsevier BV, 2022, doi:<a href=\"https://doi.org/10.1016/j.na.2022.113153\">10.1016/j.na.2022.113153</a>.","apa":"Desvillettes, L., Laurençot, P., Trescases, A., &#38; Winkler, M. (2022). Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. <i>Nonlinear Analysis</i>, <i>226</i>, Article 113153. <a href=\"https://doi.org/10.1016/j.na.2022.113153\">https://doi.org/10.1016/j.na.2022.113153</a>","ama":"Desvillettes L, Laurençot P, Trescases A, Winkler M. Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. <i>Nonlinear Analysis</i>. 2022;226. doi:<a href=\"https://doi.org/10.1016/j.na.2022.113153\">10.1016/j.na.2022.113153</a>","chicago":"Desvillettes, Laurent, Philippe Laurençot, Ariane Trescases, and Michael Winkler. “Weak Solutions to Triangular Cross Diffusion Systems Modeling Chemotaxis with Local Sensing.” <i>Nonlinear Analysis</i> 226 (2022). <a href=\"https://doi.org/10.1016/j.na.2022.113153\">https://doi.org/10.1016/j.na.2022.113153</a>.","ieee":"L. Desvillettes, P. Laurençot, A. Trescases, and M. Winkler, “Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing,” <i>Nonlinear Analysis</i>, vol. 226, Art. no. 113153, 2022, doi: <a href=\"https://doi.org/10.1016/j.na.2022.113153\">10.1016/j.na.2022.113153</a>."},"year":"2022","user_id":"31496","_id":"63268","language":[{"iso":"eng"}],"article_number":"113153","publication":"Nonlinear Analysis","type":"journal_article","status":"public"},{"publication":"International Mathematics Research Notices","type":"journal_article","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>The Neumann problem for (0.1)$$ \\begin{align}&amp; V_t = \\Delta V-aV+f(x,t) \\end{align}$$is considered in bounded domains $\\Omega \\subset {\\mathbb {R}}^n$ with smooth boundary, where $n\\ge 1$ and $a\\in {\\mathbb {R}}$. By means of a variational approach, a statement on boundedness of the quantities $$ \\begin{eqnarray*} \\sup_{t\\in (0,T)} \\int_\\Omega \\big|\\nabla V(\\cdot,t)\\big|^p L^{\\frac{n+p}{n+2}} \\Big( \\big|\\nabla V(\\cdot,t)\\big| \\Big) \\end{eqnarray*}$$in dependence on the expressions (0.2)$$ \\begin{align}&amp; \\sup_{t\\in (0,T-\\tau)} \\int_t^{t+\\tau} \\int_\\Omega |f|^{\\frac{(n+2)p}{n+p}} L\\big( |f|\\big) \\end{align}$$is derived for $p\\ge 2$, $\\tau&amp;gt;0$, and $T\\ge 2\\tau $, provided that $L\\in C^0([0,\\infty ))$ is positive, strictly increasing, unbounded, and slowly growing in the sense that $\\limsup _{s\\to \\infty } \\frac {L(s^{\\lambda _0})}{L(s)} &amp;lt;\\infty $ for some $\\lambda _0&amp;gt;1$. In the particular case when $p=n\\ge 2$, an additional condition on growth of $L$, particularly satisfied by $L(\\xi ):=\\ln ^\\alpha (\\xi +b)$ whenever $b&amp;gt;0$ and $\\alpha&amp;gt;\\frac {(n+2)(n-1)}{2n}$, is identified as sufficient to ensure that as a consequence of the above, bounds for theintegrals in (0.2) even imply estimates for the spatio-temporal modulus of continuity of solutions to (0.1). A subsequent application to the Keller–Segel system $$ \\begin{eqnarray*} \\left\\{ \\begin{array}{l} u_t = \\nabla \\cdot \\big( D(v)\\nabla u\\big) - \\nabla \\cdot \\big( uS(v)\\nabla v\\big) + ru - \\mu u^2, \\\\[1mm] v_t = \\Delta v-v+u, \\end{array} \\right. \\end{eqnarray*}$$shows that when $n=2$, $r\\in {\\mathbb {R}}$, $0&amp;lt;D\\in C^2([0,\\infty ))$, and $S\\in C^2([0,\\infty )) \\cap W^{1,\\infty }((0,\\infty ))$ and thus especially in the presence of arbitrarily strong diffusion degeneracies implied by rapid decay of $D$, any choice of $\\mu&amp;gt;0$ excludes blowup in the sense that for all suitably regular nonnegative initial data, an associated initial-boundary value problem admits a global bounded classical solution.</jats:p>"}],"status":"public","_id":"63278","user_id":"31496","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1073-7928","1687-0247"]},"publication_status":"published","issue":"19","year":"2022","page":"16336-16393","intvolume":"      2023","citation":{"ieee":"M. Winkler, “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System,” <i>International Mathematics Research Notices</i>, vol. 2023, no. 19, pp. 16336–16393, 2022, doi: <a href=\"https://doi.org/10.1093/imrn/rnac286\">10.1093/imrn/rnac286</a>.","chicago":"Winkler, Michael. “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System.” <i>International Mathematics Research Notices</i> 2023, no. 19 (2022): 16336–93. <a href=\"https://doi.org/10.1093/imrn/rnac286\">https://doi.org/10.1093/imrn/rnac286</a>.","ama":"Winkler M. A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System. <i>International Mathematics Research Notices</i>. 2022;2023(19):16336-16393. doi:<a href=\"https://doi.org/10.1093/imrn/rnac286\">10.1093/imrn/rnac286</a>","apa":"Winkler, M. (2022). A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System. <i>International Mathematics Research Notices</i>, <i>2023</i>(19), 16336–16393. <a href=\"https://doi.org/10.1093/imrn/rnac286\">https://doi.org/10.1093/imrn/rnac286</a>","bibtex":"@article{Winkler_2022, title={A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System}, volume={2023}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnac286\">10.1093/imrn/rnac286</a>}, number={19}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Winkler, Michael}, year={2022}, pages={16336–16393} }","mla":"Winkler, Michael. “A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System.” <i>International Mathematics Research Notices</i>, vol. 2023, no. 19, Oxford University Press (OUP), 2022, pp. 16336–93, doi:<a href=\"https://doi.org/10.1093/imrn/rnac286\">10.1093/imrn/rnac286</a>.","short":"M. Winkler, International Mathematics Research Notices 2023 (2022) 16336–16393."},"date_updated":"2025-12-18T20:11:43Z","publisher":"Oxford University Press (OUP)","volume":2023,"date_created":"2025-12-18T19:15:52Z","author":[{"last_name":"Winkler","id":"31496","full_name":"Winkler, Michael","first_name":"Michael"}],"title":"A Result on Parabolic Gradient Regularity in Orlicz Spaces and Application to Absorption-Induced Blow-Up Prevention in a Keller–Segel-Type Cross-Diffusion System","doi":"10.1093/imrn/rnac286"},{"citation":{"short":"M. Winkler, Journal of the European Mathematical Society 25 (2022) 1423–1456.","bibtex":"@article{Winkler_2022, title={Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?}, volume={25}, DOI={<a href=\"https://doi.org/10.4171/jems/1226\">10.4171/jems/1226</a>}, number={4}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Winkler, Michael}, year={2022}, pages={1423–1456} }","mla":"Winkler, Michael. “Does Leray’s Structure Theorem Withstand Buoyancy-Driven Chemotaxis-Fluid Interaction?” <i>Journal of the European Mathematical Society</i>, vol. 25, no. 4, European Mathematical Society - EMS - Publishing House GmbH, 2022, pp. 1423–56, doi:<a href=\"https://doi.org/10.4171/jems/1226\">10.4171/jems/1226</a>.","apa":"Winkler, M. (2022). Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction? <i>Journal of the European Mathematical Society</i>, <i>25</i>(4), 1423–1456. <a href=\"https://doi.org/10.4171/jems/1226\">https://doi.org/10.4171/jems/1226</a>","ama":"Winkler M. Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction? <i>Journal of the European Mathematical Society</i>. 2022;25(4):1423-1456. doi:<a href=\"https://doi.org/10.4171/jems/1226\">10.4171/jems/1226</a>","ieee":"M. Winkler, “Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?,” <i>Journal of the European Mathematical Society</i>, vol. 25, no. 4, pp. 1423–1456, 2022, doi: <a href=\"https://doi.org/10.4171/jems/1226\">10.4171/jems/1226</a>.","chicago":"Winkler, Michael. “Does Leray’s Structure Theorem Withstand Buoyancy-Driven Chemotaxis-Fluid Interaction?” <i>Journal of the European Mathematical Society</i> 25, no. 4 (2022): 1423–56. <a href=\"https://doi.org/10.4171/jems/1226\">https://doi.org/10.4171/jems/1226</a>."},"page":"1423-1456","intvolume":"        25","year":"2022","issue":"4","publication_status":"published","publication_identifier":{"issn":["1435-9855","1435-9863"]},"doi":"10.4171/jems/1226","title":"Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?","author":[{"last_name":"Winkler","full_name":"Winkler, Michael","id":"31496","first_name":"Michael"}],"date_created":"2025-12-18T19:16:13Z","volume":25,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","date_updated":"2025-12-18T20:11:51Z","status":"public","abstract":[{"text":"<jats:p>\r\n                    In a smoothly bounded convex domain\r\n                    <jats:inline-formula>\r\n                      <jats:tex-math>\\Omega \\subset \\mathbb{R}^3</jats:tex-math>\r\n                    </jats:inline-formula>\r\n                    , we consider the chemotaxis-Navier–Stokes model\r\n                  </jats:p>\r\n                  <jats:p>\r\n                    <jats:disp-formula>\r\n                      <jats:tex-math>\\begin{cases} n_t + u\\cdot\\nabla n = \\Delta n - \\nabla \\cdot (n\\nabla c), &amp; x\\in \\Omega, \\, t&gt;0, \\\\ c_t + u\\cdot\\nabla c = \\Delta c -nc, &amp; x\\in \\Omega, \\, t&gt;0, \\\\ u_t + (u\\cdot\\nabla) u = \\Delta u + \\nabla P + n\\nabla\\Phi, \\quad \\nabla\\cdot u=0, &amp; x\\in \\Omega, \\, t&gt;0, \\end{cases} \\quad (\\star)</jats:tex-math>\r\n                    </jats:disp-formula>\r\n                  </jats:p>\r\n                  <jats:p>\r\n                    proposed by Goldstein et al. to describe pattern formation in populations of aerobic bacteria interacting with their liquid environment via transport and buoyancy. Known results have asserted that under appropriate regularity assumptions on\r\n                    <jats:inline-formula>\r\n                      <jats:tex-math>\\Phi</jats:tex-math>\r\n                    </jats:inline-formula>\r\n                    and the initial data, a corresponding no-flux/no-flux/Dirichlet initial-boundary value problem is globally solvable in a framework of so-called weak energy solutions, and that any such solution eventually becomes smooth and classical.\r\n                  </jats:p>\r\n                  <jats:p>\r\n                    Going beyond this, the present work focuses on the possible extent of unboundedness phenomena also on short timescales, and hence investigates in more detail the set of times in\r\n                    <jats:inline-formula>\r\n                      <jats:tex-math>(0,\\infty)</jats:tex-math>\r\n                    </jats:inline-formula>\r\n                    at which solutions may develop singularities. The main results in this direction reveal the existence of a global weak energy solution which coincides with a smooth function throughout\r\n                    <jats:inline-formula>\r\n                      <jats:tex-math>\\overline{\\Omega}\\times E</jats:tex-math>\r\n                    </jats:inline-formula>\r\n                    , where\r\n                    <jats:inline-formula>\r\n                      <jats:tex-math>E</jats:tex-math>\r\n                    </jats:inline-formula>\r\n                    denotes a countable union of open intervals which is such that\r\n                    <jats:inline-formula>\r\n                      <jats:tex-math>|(0,\\infty)\\setminus E|=0</jats:tex-math>\r\n                    </jats:inline-formula>\r\n                    . In particular, this indicates that a similar feature of the unperturbed Navie–Stokes equations, known as Leray’s structure theorem, persists even in the presence of the coupling to the attractive and hence potentially destabilizing cross-diffusive mechanism in the full system (\r\n                    <jats:inline-formula>\r\n                      <jats:tex-math>\\star</jats:tex-math>\r\n                    </jats:inline-formula>\r\n                    ).\r\n                  </jats:p>","lang":"eng"}],"type":"journal_article","publication":"Journal of the European Mathematical Society","language":[{"iso":"eng"}],"user_id":"31496","_id":"63279"},{"_id":"63274","user_id":"31496","language":[{"iso":"eng"}],"type":"journal_article","publication":"Proceedings of the Royal Society of Edinburgh: Section A Mathematics","abstract":[{"lang":"eng","text":"<jats:p>In a ball <jats:inline-formula><jats:alternatives><jats:tex-math>$\\Omega \\subset \\mathbb {R}^{n}$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline1.png\" /></jats:alternatives></jats:inline-formula> with <jats:inline-formula><jats:alternatives><jats:tex-math>$n\\ge 2$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline2.png\" /></jats:alternatives></jats:inline-formula>, the chemotaxis system\r\n<jats:disp-formula><jats:alternatives><jats:tex-math>\\[ \\left\\{ \\begin{array}{@{}l} u_t = \\nabla \\cdot \\big( D(u)\\nabla u\\big) + \\nabla\\cdot \\big(\\dfrac{u}{v} \\nabla v\\big), \\\\ 0=\\Delta v - uv \\end{array} \\right. \\]</jats:tex-math><jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" mimetype=\"image\" position=\"float\" xlink:href=\"S0308210522000397_eqnU1.png\" /></jats:alternatives></jats:disp-formula>is considered along with no-flux boundary conditions for <jats:inline-formula><jats:alternatives><jats:tex-math>$u$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline3.png\" /></jats:alternatives></jats:inline-formula> and with prescribed constant positive Dirichlet boundary data for <jats:inline-formula><jats:alternatives><jats:tex-math>$v$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline4.png\" /></jats:alternatives></jats:inline-formula>. It is shown that if <jats:inline-formula><jats:alternatives><jats:tex-math>$D\\in C^{3}([0,\\infty ))$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline5.png\" /></jats:alternatives></jats:inline-formula> is such that <jats:inline-formula><jats:alternatives><jats:tex-math>$0&lt; D(\\xi ) \\le {K_D} (\\xi +1)^{-\\alpha }$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline6.png\" /></jats:alternatives></jats:inline-formula> for all <jats:inline-formula><jats:alternatives><jats:tex-math>$\\xi &gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline7.png\" /></jats:alternatives></jats:inline-formula> with some <jats:inline-formula><jats:alternatives><jats:tex-math>${K_D}&gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline8.png\" /></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$\\alpha &gt;0$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline9.png\" /></jats:alternatives></jats:inline-formula>, then for all initial data from a considerably large set of radial functions on <jats:inline-formula><jats:alternatives><jats:tex-math>$\\Omega$</jats:tex-math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0308210522000397_inline10.png\" /></jats:alternatives></jats:inline-formula>, the corresponding initial-boundary value problem admits a solution blowing up in finite time.</jats:p>"}],"status":"public","publisher":"Cambridge University Press (CUP)","date_updated":"2025-12-18T20:11:15Z","date_created":"2025-12-18T19:14:20Z","author":[{"full_name":"Wang, Yulan","last_name":"Wang","first_name":"Yulan"},{"first_name":"Michael","last_name":"Winkler","id":"31496","full_name":"Winkler, Michael"}],"volume":153,"title":"Finite-time blow-up in a repulsive chemotaxis-consumption system","doi":"10.1017/prm.2022.39","publication_status":"published","publication_identifier":{"issn":["0308-2105","1473-7124"]},"issue":"4","year":"2022","citation":{"ama":"Wang Y, Winkler M. Finite-time blow-up in a repulsive chemotaxis-consumption system. <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>. 2022;153(4):1150-1166. doi:<a href=\"https://doi.org/10.1017/prm.2022.39\">10.1017/prm.2022.39</a>","chicago":"Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption System.” <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i> 153, no. 4 (2022): 1150–66. <a href=\"https://doi.org/10.1017/prm.2022.39\">https://doi.org/10.1017/prm.2022.39</a>.","ieee":"Y. Wang and M. Winkler, “Finite-time blow-up in a repulsive chemotaxis-consumption system,” <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>, vol. 153, no. 4, pp. 1150–1166, 2022, doi: <a href=\"https://doi.org/10.1017/prm.2022.39\">10.1017/prm.2022.39</a>.","apa":"Wang, Y., &#38; Winkler, M. (2022). Finite-time blow-up in a repulsive chemotaxis-consumption system. <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>, <i>153</i>(4), 1150–1166. <a href=\"https://doi.org/10.1017/prm.2022.39\">https://doi.org/10.1017/prm.2022.39</a>","bibtex":"@article{Wang_Winkler_2022, title={Finite-time blow-up in a repulsive chemotaxis-consumption system}, volume={153}, DOI={<a href=\"https://doi.org/10.1017/prm.2022.39\">10.1017/prm.2022.39</a>}, number={4}, journal={Proceedings of the Royal Society of Edinburgh: Section A Mathematics}, publisher={Cambridge University Press (CUP)}, author={Wang, Yulan and Winkler, Michael}, year={2022}, pages={1150–1166} }","mla":"Wang, Yulan, and Michael Winkler. “Finite-Time Blow-up in a Repulsive Chemotaxis-Consumption System.” <i>Proceedings of the Royal Society of Edinburgh: Section A Mathematics</i>, vol. 153, no. 4, Cambridge University Press (CUP), 2022, pp. 1150–66, doi:<a href=\"https://doi.org/10.1017/prm.2022.39\">10.1017/prm.2022.39</a>.","short":"Y. Wang, M. Winkler, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 153 (2022) 1150–1166."},"page":"1150-1166","intvolume":"       153"},{"article_number":"2250062","language":[{"iso":"eng"}],"_id":"63282","user_id":"31496","abstract":[{"text":"<jats:p> The chemotaxis system [Formula: see text] is considered in a ball [Formula: see text], [Formula: see text], where the positive function [Formula: see text] reflects suitably weak diffusion by satisfying [Formula: see text] for some [Formula: see text]. It is shown that whenever [Formula: see text] is positive and satisfies [Formula: see text] as [Formula: see text], one can find a suitably regular nonlinearity [Formula: see text] with the property that at each sufficiently large mass level [Formula: see text] there exists a globally defined radially symmetric classical solution to a Neumann-type boundary value problem for (⋆) which satisfies [Formula: see text] </jats:p>","lang":"eng"}],"status":"public","publication":"Communications in Contemporary Mathematics","type":"journal_article","title":"Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems","doi":"10.1142/s0219199722500626","date_updated":"2025-12-18T20:12:13Z","publisher":"World Scientific Pub Co Pte Ltd","volume":25,"date_created":"2025-12-18T19:17:23Z","author":[{"first_name":"Michael","last_name":"Winkler","id":"31496","full_name":"Winkler, Michael"}],"year":"2022","intvolume":"        25","citation":{"apa":"Winkler, M. (2022). Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. <i>Communications in Contemporary Mathematics</i>, <i>25</i>(10), Article 2250062. <a href=\"https://doi.org/10.1142/s0219199722500626\">https://doi.org/10.1142/s0219199722500626</a>","bibtex":"@article{Winkler_2022, title={Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems}, volume={25}, DOI={<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>}, number={102250062}, journal={Communications in Contemporary Mathematics}, publisher={World Scientific Pub Co Pte Ltd}, author={Winkler, Michael}, year={2022} }","mla":"Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, 2250062, World Scientific Pub Co Pte Ltd, 2022, doi:<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>.","short":"M. Winkler, Communications in Contemporary Mathematics 25 (2022).","ieee":"M. Winkler, “Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems,” <i>Communications in Contemporary Mathematics</i>, vol. 25, no. 10, Art. no. 2250062, 2022, doi: <a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>.","chicago":"Winkler, Michael. “Arbitrarily Fast Grow-up Rates in Quasilinear Keller–Segel Systems.” <i>Communications in Contemporary Mathematics</i> 25, no. 10 (2022). <a href=\"https://doi.org/10.1142/s0219199722500626\">https://doi.org/10.1142/s0219199722500626</a>.","ama":"Winkler M. Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems. <i>Communications in Contemporary Mathematics</i>. 2022;25(10). doi:<a href=\"https://doi.org/10.1142/s0219199722500626\">10.1142/s0219199722500626</a>"},"publication_identifier":{"issn":["0219-1997","1793-6683"]},"publication_status":"published","issue":"10"},{"year":"2022","page":"1-6","citation":{"bibtex":"@inproceedings{Haucke-Korber_Schenke_Wallscheid_2022, title={Reinforcement Learning-Based Deep Q Direct Torque Control with Adaptable Switching Frequency Towards Six-Step Operation of Permanent Magnet Synchronous Motors}, booktitle={IKMT 2022; 13. GMM/ETG-Symposium}, author={Haucke-Korber, Barnabas and Schenke, Maximilian and Wallscheid, Oliver}, year={2022}, pages={1–6} }","short":"B. Haucke-Korber, M. Schenke, O. Wallscheid, in: IKMT 2022; 13. GMM/ETG-Symposium, 2022, pp. 1–6.","mla":"Haucke-Korber, Barnabas, et al. “Reinforcement Learning-Based Deep Q Direct Torque Control with Adaptable Switching Frequency Towards Six-Step Operation of Permanent Magnet Synchronous Motors.” <i>IKMT 2022; 13. GMM/ETG-Symposium</i>, 2022, pp. 1–6.","apa":"Haucke-Korber, B., Schenke, M., &#38; Wallscheid, O. (2022). Reinforcement Learning-Based Deep Q Direct Torque Control with Adaptable Switching Frequency Towards Six-Step Operation of Permanent Magnet Synchronous Motors. <i>IKMT 2022; 13. GMM/ETG-Symposium</i>, 1–6.","ieee":"B. Haucke-Korber, M. Schenke, and O. Wallscheid, “Reinforcement Learning-Based Deep Q Direct Torque Control with Adaptable Switching Frequency Towards Six-Step Operation of Permanent Magnet Synchronous Motors,” in <i>IKMT 2022; 13. GMM/ETG-Symposium</i>, 2022, pp. 1–6.","chicago":"Haucke-Korber, Barnabas, Maximilian Schenke, and Oliver Wallscheid. “Reinforcement Learning-Based Deep Q Direct Torque Control with Adaptable Switching Frequency Towards Six-Step Operation of Permanent Magnet Synchronous Motors.” In <i>IKMT 2022; 13. GMM/ETG-Symposium</i>, 1–6, 2022.","ama":"Haucke-Korber B, Schenke M, Wallscheid O. Reinforcement Learning-Based Deep Q Direct Torque Control with Adaptable Switching Frequency Towards Six-Step Operation of Permanent Magnet Synchronous Motors. In: <i>IKMT 2022; 13. GMM/ETG-Symposium</i>. ; 2022:1-6."},"title":"Reinforcement Learning-Based Deep Q Direct Torque Control with Adaptable Switching Frequency Towards Six-Step Operation of Permanent Magnet Synchronous Motors","date_updated":"2025-12-19T12:44:31Z","author":[{"first_name":"Barnabas","orcid":"0000-0003-0862-2069","last_name":"Haucke-Korber","id":"93461","full_name":"Haucke-Korber, Barnabas"},{"orcid":"0000-0001-5427-9527","last_name":"Schenke","full_name":"Schenke, Maximilian","id":"52638","first_name":"Maximilian"},{"first_name":"Oliver","full_name":"Wallscheid, Oliver","id":"11291","orcid":"https://orcid.org/0000-0001-9362-8777","last_name":"Wallscheid"}],"date_created":"2023-01-26T08:51:40Z","status":"public","publication":"IKMT 2022; 13. GMM/ETG-Symposium","type":"conference","language":[{"iso":"eng"}],"_id":"40212","department":[{"_id":"52"}],"user_id":"93461"},{"user_id":"28261","_id":"63428","language":[{"iso":"ger"}],"publication":"Wie beeinflussen Gefühle und Sprache den (Online-) Lernprozess? Tagungsband zum 21. E-Learning Tag der FH JOANNEUM am 21.09.2022","type":"book_chapter","status":"public","editor":[{"first_name":"Jutta","last_name":"Pauschenwein","full_name":"Pauschenwein, Jutta"},{"full_name":"Hernády, Birgit","last_name":"Hernády","first_name":"Birgit"},{"last_name":"Michelitsch","full_name":"Michelitsch, Linda","first_name":"Linda"}],"author":[{"full_name":"Kirschtein, Claudia","id":"28261","last_name":"Kirschtein","first_name":"Claudia"}],"date_created":"2025-12-30T13:52:59Z","date_updated":"2025-12-30T13:54:08Z","publisher":"FH JOANNEUM Gesellschaft","title":"Mediendidaktische Konzeption mit Emotion","publication_identifier":{"unknown":["978-3-903318-07-6"]},"publication_status":"published","page":"73-84","citation":{"chicago":"Kirschtein, Claudia. “Mediendidaktische Konzeption mit Emotion.” In <i>Wie beeinflussen Gefühle und Sprache den (Online-) Lernprozess? Tagungsband zum 21. E-Learning Tag der FH JOANNEUM am 21.09.2022</i>, edited by Jutta Pauschenwein, Birgit Hernády, and Linda Michelitsch, 73–84. Graz: FH JOANNEUM Gesellschaft, 2022.","ieee":"C. Kirschtein, “Mediendidaktische Konzeption mit Emotion,” in <i>Wie beeinflussen Gefühle und Sprache den (Online-) Lernprozess? Tagungsband zum 21. E-Learning Tag der FH JOANNEUM am 21.09.2022</i>, J. Pauschenwein, B. Hernády, and L. Michelitsch, Eds. Graz: FH JOANNEUM Gesellschaft, 2022, pp. 73–84.","ama":"Kirschtein C. Mediendidaktische Konzeption mit Emotion. In: Pauschenwein J, Hernády B, Michelitsch L, eds. <i>Wie beeinflussen Gefühle und Sprache den (Online-) Lernprozess? Tagungsband zum 21. E-Learning Tag der FH JOANNEUM am 21.09.2022</i>. FH JOANNEUM Gesellschaft; 2022:73-84.","mla":"Kirschtein, Claudia. “Mediendidaktische Konzeption mit Emotion.” <i>Wie beeinflussen Gefühle und Sprache den (Online-) Lernprozess? Tagungsband zum 21. E-Learning Tag der FH JOANNEUM am 21.09.2022</i>, edited by Jutta Pauschenwein et al., FH JOANNEUM Gesellschaft, 2022, pp. 73–84.","short":"C. Kirschtein, in: J. Pauschenwein, B. Hernády, L. Michelitsch (Eds.), Wie beeinflussen Gefühle und Sprache den (Online-) Lernprozess? Tagungsband zum 21. E-Learning Tag der FH JOANNEUM am 21.09.2022, FH JOANNEUM Gesellschaft, Graz, 2022, pp. 73–84.","bibtex":"@inbook{Kirschtein_2022, place={Graz}, title={Mediendidaktische Konzeption mit Emotion}, booktitle={Wie beeinflussen Gefühle und Sprache den (Online-) Lernprozess? Tagungsband zum 21. E-Learning Tag der FH JOANNEUM am 21.09.2022}, publisher={FH JOANNEUM Gesellschaft}, author={Kirschtein, Claudia}, editor={Pauschenwein, Jutta and Hernády, Birgit and Michelitsch, Linda}, year={2022}, pages={73–84} }","apa":"Kirschtein, C. (2022). Mediendidaktische Konzeption mit Emotion. In J. Pauschenwein, B. Hernády, &#38; L. Michelitsch (Eds.), <i>Wie beeinflussen Gefühle und Sprache den (Online-) Lernprozess? Tagungsband zum 21. E-Learning Tag der FH JOANNEUM am 21.09.2022</i> (pp. 73–84). FH JOANNEUM Gesellschaft."},"place":"Graz","year":"2022"},{"project":[{"_id":"90","name":"ChaMP: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums"},{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"_id":"6553","user_id":"11829","department":[{"_id":"49"}],"ddc":["620"],"language":[{"iso":"eng"}],"file_date_updated":"2022-03-28T14:21:06Z","type":"conference","publication":"Fortschritte der Akustik - DAGA 2022","file":[{"content_type":"application/pdf","relation":"main_file","success":1,"date_created":"2022-03-28T14:21:06Z","creator":"leanderc","date_updated":"2022-03-28T14:21:06Z","file_id":"30666","file_name":"daga2022 cla.pdf","access_level":"closed","file_size":1143917}],"status":"public","date_updated":"2026-01-05T07:52:51Z","date_created":"2019-01-09T14:36:59Z","author":[{"first_name":"Leander","last_name":"Claes","orcid":"0000-0002-4393-268X","full_name":"Claes, Leander","id":"11829"},{"last_name":"Feldmann","full_name":"Feldmann, Nadine","id":"23082","first_name":"Nadine"},{"full_name":"Schulze, Veronika","last_name":"Schulze","first_name":"Veronika"},{"first_name":"Benjamin","full_name":"Jurgelucks, Benjamin","last_name":"Jurgelucks"},{"full_name":"Walther, Andrea","last_name":"Walther","first_name":"Andrea"},{"first_name":"Bernd","last_name":"Henning","full_name":"Henning, Bernd","id":"213"}],"title":"Identification of piezoelectric material parameters using optimised multi-electrode specimens","conference":{"location":"Stuttgart","end_date":"2022-03-24","start_date":"2022-03-21","name":"DAGA 2022 - 48. Jahrestagung für Akustik"},"has_accepted_license":"1","year":"2022","citation":{"ama":"Claes L, Feldmann N, Schulze V, Jurgelucks B, Walther A, Henning B. Identification of piezoelectric material parameters using optimised multi-electrode specimens. In: <i>Fortschritte Der Akustik - DAGA 2022</i>. ; 2022:1326-1329.","ieee":"L. Claes, N. Feldmann, V. Schulze, B. Jurgelucks, A. Walther, and B. Henning, “Identification of piezoelectric material parameters using optimised multi-electrode specimens,” in <i>Fortschritte der Akustik - DAGA 2022</i>, Stuttgart, 2022, pp. 1326–1329.","chicago":"Claes, Leander, Nadine Feldmann, Veronika Schulze, Benjamin Jurgelucks, Andrea Walther, and Bernd Henning. “Identification of Piezoelectric Material Parameters Using Optimised Multi-Electrode Specimens.” In <i>Fortschritte Der Akustik - DAGA 2022</i>, 1326–29, 2022.","apa":"Claes, L., Feldmann, N., Schulze, V., Jurgelucks, B., Walther, A., &#38; Henning, B. (2022). Identification of piezoelectric material parameters using optimised multi-electrode specimens. <i>Fortschritte Der Akustik - DAGA 2022</i>, 1326–1329.","bibtex":"@inproceedings{Claes_Feldmann_Schulze_Jurgelucks_Walther_Henning_2022, title={Identification of piezoelectric material parameters using optimised multi-electrode specimens}, booktitle={Fortschritte der Akustik - DAGA 2022}, author={Claes, Leander and Feldmann, Nadine and Schulze, Veronika and Jurgelucks, Benjamin and Walther, Andrea and Henning, Bernd}, year={2022}, pages={1326–1329} }","mla":"Claes, Leander, et al. “Identification of Piezoelectric Material Parameters Using Optimised Multi-Electrode Specimens.” <i>Fortschritte Der Akustik - DAGA 2022</i>, 2022, pp. 1326–29.","short":"L. Claes, N. Feldmann, V. Schulze, B. Jurgelucks, A. Walther, B. Henning, in: Fortschritte Der Akustik - DAGA 2022, 2022, pp. 1326–1329."},"page":"1326-1329"},{"type":"misc","status":"public","department":[{"_id":"49"}],"user_id":"11829","_id":"6558","project":[{"_id":"90","name":"ChaMP: Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums"},{"name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)","_id":"245"}],"language":[{"iso":"eng"}],"citation":{"ieee":"O. Friesen, L. Claes, N. Feldmann, and B. Henning, <i>Estimation of piezoelectric material parameters of ring-shaped specimens</i>. International Workshop on Piezoelectric Materials and Applications in Actuators (IWPMA), 2022.","chicago":"Friesen, Olga, Leander Claes, Nadine Feldmann, and Bernd Henning. <i>Estimation of Piezoelectric Material Parameters of Ring-Shaped Specimens</i>. International Workshop on Piezoelectric Materials and Applications in Actuators (IWPMA), 2022.","ama":"Friesen O, Claes L, Feldmann N, Henning B. <i>Estimation of Piezoelectric Material Parameters of Ring-Shaped Specimens</i>.; 2022.","apa":"Friesen, O., Claes, L., Feldmann, N., &#38; Henning, B. (2022). <i>Estimation of piezoelectric material parameters of ring-shaped specimens</i>.","bibtex":"@book{Friesen_Claes_Feldmann_Henning_2022, place={International Workshop on Piezoelectric Materials and Applications in Actuators (IWPMA)}, title={Estimation of piezoelectric material parameters of ring-shaped specimens}, author={Friesen, Olga and Claes, Leander and Feldmann, Nadine and Henning, Bernd}, year={2022} }","mla":"Friesen, Olga, et al. <i>Estimation of Piezoelectric Material Parameters of Ring-Shaped Specimens</i>. 2022.","short":"O. Friesen, L. Claes, N. Feldmann, B. Henning, Estimation of Piezoelectric Material Parameters of Ring-Shaped Specimens, International Workshop on Piezoelectric Materials and Applications in Actuators (IWPMA), 2022."},"place":"International Workshop on Piezoelectric Materials and Applications in Actuators (IWPMA)","year":"2022","author":[{"first_name":"Olga","last_name":"Friesen","full_name":"Friesen, Olga","id":"44026"},{"first_name":"Leander","id":"11829","full_name":"Claes, Leander","last_name":"Claes","orcid":"0000-0002-4393-268X"},{"first_name":"Nadine","last_name":"Feldmann","id":"23082","full_name":"Feldmann, Nadine"},{"first_name":"Bernd","full_name":"Henning, Bernd","id":"213","last_name":"Henning"}],"date_created":"2019-01-09T14:37:05Z","date_updated":"2026-01-05T08:02:08Z","title":"Estimation of piezoelectric material parameters of ring-shaped specimens"},{"publication":"Advanced Materials Interfaces","type":"journal_article","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Polymeric semiconductors are finding a wide range of applications. In particular, graphitic carbon nitride <jats:italic>g‐</jats:italic>C<jats:sub>3</jats:sub>N<jats:sub>4</jats:sub> has been investigated extensively in the past decade. However, the family of carbon nitrides is not limited to C<jats:sub>3</jats:sub>N<jats:sub>4</jats:sub> and new C<jats:italic><jats:sub>X</jats:sub></jats:italic>N<jats:italic><jats:sub>Y</jats:sub></jats:italic> are now being explored due to their different bandgap energy, morphology, and overall physicochemical properties. Here, homogenous and semi‐transparent C<jats:sub>1</jats:sub>N<jats:sub>1</jats:sub> thin films are fabricated using guanine as a nontoxic molecular precursor. They are synthesized in a simplified chemical vapor deposition process on top of fused silica and fluorine doped tin oxide coated glass substrates. The chemical and structural studies reveal that C/N ratio is close to target 1, triazine vibrations are visible in vibrational spectra and stacking of the film is observed from glancing incidence X‐ray diffraction data. The (photo)electrochemical properties are studied, the film is a p‐type semiconductor with a good photoresponse to visible light and a suitable catalyst for hydrogen evolution reaction. A simple and safe way of synthesizing C<jats:sub>1</jats:sub>N<jats:sub>1</jats:sub> films on a range of substrates is presented here.</jats:p>","lang":"eng"}],"user_id":"98120","_id":"62676","language":[{"iso":"eng"}],"article_number":"2202061","issue":"6","publication_identifier":{"issn":["2196-7350","2196-7350"]},"publication_status":"published","intvolume":"        10","citation":{"bibtex":"@article{Jerigová_Heske_Kühne_Tian_Tovar_Odziomek_Lopez Salas_2022, title={C<sub>1</sub>N<sub>1</sub> Thin Films from Guanine Decomposition Fragments}, volume={10}, DOI={<a href=\"https://doi.org/10.1002/admi.202202061\">10.1002/admi.202202061</a>}, number={62202061}, journal={Advanced Materials Interfaces}, publisher={Wiley}, author={Jerigová, Mária and Heske, Julian and Kühne, ThomasD. and Tian, Zhihong and Tovar, Michael and Odziomek, Mateusz and Lopez Salas, Nieves}, year={2022} }","short":"M. Jerigová, J. Heske, ThomasD. Kühne, Z. Tian, M. Tovar, M. Odziomek, N. Lopez Salas, Advanced Materials Interfaces 10 (2022).","mla":"Jerigová, Mária, et al. “C<sub>1</sub>N<sub>1</sub> Thin Films from Guanine Decomposition Fragments.” <i>Advanced Materials Interfaces</i>, vol. 10, no. 6, 2202061, Wiley, 2022, doi:<a href=\"https://doi.org/10.1002/admi.202202061\">10.1002/admi.202202061</a>.","apa":"Jerigová, M., Heske, J., Kühne, ThomasD., Tian, Z., Tovar, M., Odziomek, M., &#38; Lopez Salas, N. (2022). C<sub>1</sub>N<sub>1</sub> Thin Films from Guanine Decomposition Fragments. <i>Advanced Materials Interfaces</i>, <i>10</i>(6), Article 2202061. <a href=\"https://doi.org/10.1002/admi.202202061\">https://doi.org/10.1002/admi.202202061</a>","chicago":"Jerigová, Mária, Julian Heske, ThomasD. Kühne, Zhihong Tian, Michael Tovar, Mateusz Odziomek, and Nieves Lopez Salas. “C<sub>1</sub>N<sub>1</sub> Thin Films from Guanine Decomposition Fragments.” <i>Advanced Materials Interfaces</i> 10, no. 6 (2022). <a href=\"https://doi.org/10.1002/admi.202202061\">https://doi.org/10.1002/admi.202202061</a>.","ieee":"M. Jerigová <i>et al.</i>, “C<sub>1</sub>N<sub>1</sub> Thin Films from Guanine Decomposition Fragments,” <i>Advanced Materials Interfaces</i>, vol. 10, no. 6, Art. no. 2202061, 2022, doi: <a href=\"https://doi.org/10.1002/admi.202202061\">10.1002/admi.202202061</a>.","ama":"Jerigová M, Heske J, Kühne ThomasD, et al. C<sub>1</sub>N<sub>1</sub> Thin Films from Guanine Decomposition Fragments. <i>Advanced Materials Interfaces</i>. 2022;10(6). doi:<a href=\"https://doi.org/10.1002/admi.202202061\">10.1002/admi.202202061</a>"},"year":"2022","volume":10,"date_created":"2025-11-27T13:16:39Z","author":[{"full_name":"Jerigová, Mária","last_name":"Jerigová","first_name":"Mária"},{"first_name":"Julian","full_name":"Heske, Julian","last_name":"Heske"},{"full_name":"Kühne, ThomasD.","last_name":"Kühne","first_name":"ThomasD."},{"full_name":"Tian, Zhihong","last_name":"Tian","first_name":"Zhihong"},{"last_name":"Tovar","full_name":"Tovar, Michael","first_name":"Michael"},{"first_name":"Mateusz","full_name":"Odziomek, Mateusz","last_name":"Odziomek"},{"id":"98120","full_name":"Lopez Salas, Nieves","orcid":"https://orcid.org/0000-0002-8438-9548","last_name":"Lopez Salas","first_name":"Nieves"}],"publisher":"Wiley","date_updated":"2026-01-08T13:12:29Z","doi":"10.1002/admi.202202061","title":"C<sub>1</sub>N<sub>1</sub> Thin Films from Guanine Decomposition Fragments"},{"doi":"10.1002/anie.202211663","title":"Catalytic Properties of High Nitrogen Content Carbonaceous Materials","volume":62,"date_created":"2025-11-27T13:16:45Z","author":[{"first_name":"Enrico","full_name":"Lepre, Enrico","last_name":"Lepre"},{"first_name":"Sylvain","last_name":"Rat","full_name":"Rat, Sylvain"},{"full_name":"Cavedon, Cristian","last_name":"Cavedon","first_name":"Cristian"},{"first_name":"Peter H.","last_name":"Seeberger","full_name":"Seeberger, Peter H."},{"full_name":"Pieber, Bartholomäus","last_name":"Pieber","first_name":"Bartholomäus"},{"full_name":"Antonietti, Markus","last_name":"Antonietti","first_name":"Markus"},{"first_name":"Nieves","full_name":"Lopez Salas, Nieves","last_name":"Lopez Salas"}],"date_updated":"2026-01-08T13:13:56Z","publisher":"Wiley","intvolume":"        62","citation":{"apa":"Lepre, E., Rat, S., Cavedon, C., Seeberger, P. H., Pieber, B., Antonietti, M., &#38; Lopez Salas, N. (2022). Catalytic Properties of High Nitrogen Content Carbonaceous Materials. <i>Angewandte Chemie International Edition</i>, <i>62</i>(2), Article e202211663. <a href=\"https://doi.org/10.1002/anie.202211663\">https://doi.org/10.1002/anie.202211663</a>","mla":"Lepre, Enrico, et al. “Catalytic Properties of High Nitrogen Content Carbonaceous Materials.” <i>Angewandte Chemie International Edition</i>, vol. 62, no. 2, e202211663, Wiley, 2022, doi:<a href=\"https://doi.org/10.1002/anie.202211663\">10.1002/anie.202211663</a>.","short":"E. Lepre, S. Rat, C. Cavedon, P.H. Seeberger, B. Pieber, M. Antonietti, N. Lopez Salas, Angewandte Chemie International Edition 62 (2022).","bibtex":"@article{Lepre_Rat_Cavedon_Seeberger_Pieber_Antonietti_Lopez Salas_2022, title={Catalytic Properties of High Nitrogen Content Carbonaceous Materials}, volume={62}, DOI={<a href=\"https://doi.org/10.1002/anie.202211663\">10.1002/anie.202211663</a>}, number={2e202211663}, journal={Angewandte Chemie International Edition}, publisher={Wiley}, author={Lepre, Enrico and Rat, Sylvain and Cavedon, Cristian and Seeberger, Peter H. and Pieber, Bartholomäus and Antonietti, Markus and Lopez Salas, Nieves}, year={2022} }","ama":"Lepre E, Rat S, Cavedon C, et al. Catalytic Properties of High Nitrogen Content Carbonaceous Materials. <i>Angewandte Chemie International Edition</i>. 2022;62(2). doi:<a href=\"https://doi.org/10.1002/anie.202211663\">10.1002/anie.202211663</a>","ieee":"E. Lepre <i>et al.</i>, “Catalytic Properties of High Nitrogen Content Carbonaceous Materials,” <i>Angewandte Chemie International Edition</i>, vol. 62, no. 2, Art. no. e202211663, 2022, doi: <a href=\"https://doi.org/10.1002/anie.202211663\">10.1002/anie.202211663</a>.","chicago":"Lepre, Enrico, Sylvain Rat, Cristian Cavedon, Peter H. Seeberger, Bartholomäus Pieber, Markus Antonietti, and Nieves Lopez Salas. “Catalytic Properties of High Nitrogen Content Carbonaceous Materials.” <i>Angewandte Chemie International Edition</i> 62, no. 2 (2022). <a href=\"https://doi.org/10.1002/anie.202211663\">https://doi.org/10.1002/anie.202211663</a>."},"year":"2022","issue":"2","publication_identifier":{"issn":["1433-7851","1521-3773"]},"publication_status":"published","language":[{"iso":"eng"}],"article_number":"e202211663","user_id":"98120","_id":"62677","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The influence of structural modifications on the catalytic activity of carbon materials is poorly understood. A collection of carbonaceous materials with different pore networks and high nitrogen content was characterized and used to catalyze four reactions to deduce structure–activity relationships. The CO<jats:sub>2</jats:sub> cycloaddition and Knoevenagel reaction depend on Lewis basic sites (electron‐rich nitrogen species). The absence of large conjugated carbon domains resulting from the introduction of large amounts of nitrogen in the carbon network is responsible for poor redox activity, as observed through the catalytic reduction of nitrobenzene with hydrazine and the catalytic oxidation of 3,3′,5,5′‐tetramethylbenzidine using hydroperoxide. The material with the highest activity towards Lewis acid catalysis (in the hydrolysis of (dimethoxymethyl)benzene to benzaldehyde) is the most effective for small molecule activation and presents the highest concentration of electron‐poor nitrogen species.</jats:p>"}],"publication":"Angewandte Chemie International Edition","type":"journal_article"},{"abstract":[{"lang":"eng","text":"<jats:p>We report on coherent transmission of beyond 100 GBd signaling based on plasmonic technology. Using dual-drive plasmonic-organic-hybrid I/Q modulator on silicon photonics platform, we demonstrate the successful transmission of 160-GBaud QPSK and 140-GBaud 16QAM modulations.</jats:p>"}],"status":"public","type":"conference","publication":"Optical Fiber Communication Conference (OFC) 2022","language":[{"iso":"eng"}],"_id":"63039","user_id":"112030","department":[{"_id":"623"},{"_id":"15"},{"_id":"230"}],"year":"2022","citation":{"ama":"Mardoyan H, Jorge F, Destraz M, et al. Generation and transmission of 160-Gbaud QPSK Coherent Signals using a Dual-Drive Plasmonic-Organic Hybrid I/Q modulator on Silicon Photonics. In: <i>Optical Fiber Communication Conference (OFC) 2022</i>. Optica Publishing Group; 2022. doi:<a href=\"https://doi.org/10.1364/ofc.2022.th1j.5\">10.1364/ofc.2022.th1j.5</a>","chicago":"Mardoyan, Haïk, Filipe Jorge, Marcel Destraz, Bernadette Duval, Bertold Bitachon, Yannik Horst, Kaoutar Benyahya, et al. “Generation and Transmission of 160-Gbaud QPSK Coherent Signals Using a Dual-Drive Plasmonic-Organic Hybrid I/Q Modulator on Silicon Photonics.” In <i>Optical Fiber Communication Conference (OFC) 2022</i>. Optica Publishing Group, 2022. <a href=\"https://doi.org/10.1364/ofc.2022.th1j.5\">https://doi.org/10.1364/ofc.2022.th1j.5</a>.","ieee":"H. Mardoyan <i>et al.</i>, “Generation and transmission of 160-Gbaud QPSK Coherent Signals using a Dual-Drive Plasmonic-Organic Hybrid I/Q modulator on Silicon Photonics,” 2022, doi: <a href=\"https://doi.org/10.1364/ofc.2022.th1j.5\">10.1364/ofc.2022.th1j.5</a>.","apa":"Mardoyan, H., Jorge, F., Destraz, M., Duval, B., Bitachon, B., Horst, Y., Benyahya, K., Blache, F., Goix, M., De Leo, E., Habegger, P., Meier, N., Del Medico, N., Tedaldi, V., Funck, C., Güsken, N. A., Leuthold, J., Renaudier, J., Hoessbacher, C., … Baeuerle, B. (2022). Generation and transmission of 160-Gbaud QPSK Coherent Signals using a Dual-Drive Plasmonic-Organic Hybrid I/Q modulator on Silicon Photonics. <i>Optical Fiber Communication Conference (OFC) 2022</i>. <a href=\"https://doi.org/10.1364/ofc.2022.th1j.5\">https://doi.org/10.1364/ofc.2022.th1j.5</a>","mla":"Mardoyan, Haïk, et al. “Generation and Transmission of 160-Gbaud QPSK Coherent Signals Using a Dual-Drive Plasmonic-Organic Hybrid I/Q Modulator on Silicon Photonics.” <i>Optical Fiber Communication Conference (OFC) 2022</i>, Optica Publishing Group, 2022, doi:<a href=\"https://doi.org/10.1364/ofc.2022.th1j.5\">10.1364/ofc.2022.th1j.5</a>.","bibtex":"@inproceedings{Mardoyan_Jorge_Destraz_Duval_Bitachon_Horst_Benyahya_Blache_Goix_De Leo_et al._2022, title={Generation and transmission of 160-Gbaud QPSK Coherent Signals using a Dual-Drive Plasmonic-Organic Hybrid I/Q modulator on Silicon Photonics}, DOI={<a href=\"https://doi.org/10.1364/ofc.2022.th1j.5\">10.1364/ofc.2022.th1j.5</a>}, booktitle={Optical Fiber Communication Conference (OFC) 2022}, publisher={Optica Publishing Group}, author={Mardoyan, Haïk and Jorge, Filipe and Destraz, Marcel and Duval, Bernadette and Bitachon, Bertold and Horst, Yannik and Benyahya, Kaoutar and Blache, Fabrice and Goix, Michel and De Leo, Eva and et al.}, year={2022} }","short":"H. Mardoyan, F. Jorge, M. Destraz, B. Duval, B. Bitachon, Y. Horst, K. Benyahya, F. Blache, M. Goix, E. De Leo, P. Habegger, N. Meier, N. Del Medico, V. Tedaldi, C. Funck, N.A. Güsken, J. Leuthold, J. Renaudier, C. Hoessbacher, W. Heni, B. Baeuerle, in: Optical Fiber Communication Conference (OFC) 2022, Optica Publishing Group, 2022."},"publication_status":"published","title":"Generation and transmission of 160-Gbaud QPSK Coherent Signals using a Dual-Drive Plasmonic-Organic Hybrid I/Q modulator on Silicon Photonics","doi":"10.1364/ofc.2022.th1j.5","date_updated":"2026-01-08T13:22:48Z","publisher":"Optica Publishing Group","author":[{"first_name":"Haïk","full_name":"Mardoyan, Haïk","last_name":"Mardoyan"},{"last_name":"Jorge","full_name":"Jorge, Filipe","first_name":"Filipe"},{"last_name":"Destraz","full_name":"Destraz, Marcel","first_name":"Marcel"},{"last_name":"Duval","full_name":"Duval, Bernadette","first_name":"Bernadette"},{"last_name":"Bitachon","full_name":"Bitachon, Bertold","first_name":"Bertold"},{"first_name":"Yannik","last_name":"Horst","full_name":"Horst, Yannik"},{"last_name":"Benyahya","full_name":"Benyahya, Kaoutar","first_name":"Kaoutar"},{"first_name":"Fabrice","full_name":"Blache, Fabrice","last_name":"Blache"},{"full_name":"Goix, Michel","last_name":"Goix","first_name":"Michel"},{"last_name":"De Leo","full_name":"De Leo, Eva","first_name":"Eva"},{"first_name":"Patrick","last_name":"Habegger","full_name":"Habegger, Patrick"},{"full_name":"Meier, Norbert","last_name":"Meier","first_name":"Norbert"},{"last_name":"Del Medico","full_name":"Del Medico, Nino","first_name":"Nino"},{"full_name":"Tedaldi, Valentino","last_name":"Tedaldi","first_name":"Valentino"},{"first_name":"Christian","last_name":"Funck","full_name":"Funck, Christian"},{"full_name":"Güsken, Nicholas Alexander","id":"112030","orcid":"0000-0002-4816-0666","last_name":"Güsken","first_name":"Nicholas Alexander"},{"first_name":"Juerg","last_name":"Leuthold","full_name":"Leuthold, Juerg"},{"first_name":"Jéremie","last_name":"Renaudier","full_name":"Renaudier, Jéremie"},{"last_name":"Hoessbacher","full_name":"Hoessbacher, Claudia","first_name":"Claudia"},{"first_name":"Wolfgang","full_name":"Heni, Wolfgang","last_name":"Heni"},{"full_name":"Baeuerle, Benedikt","last_name":"Baeuerle","first_name":"Benedikt"}],"date_created":"2025-12-11T20:32:06Z"},{"_id":"59499","user_id":"112030","language":[{"iso":"eng"}],"type":"journal_article","publication":"Nature Nanotechnology","status":"public","date_updated":"2026-01-08T16:08:30Z","publisher":"Springer Science and Business Media LLC","date_created":"2025-04-10T13:25:17Z","author":[{"full_name":"Fu, Ming","last_name":"Fu","first_name":"Ming"},{"first_name":"Mónica P. dS. P.","full_name":"Mota, Mónica P. dS. P.","last_name":"Mota"},{"first_name":"Xiaofei","last_name":"Xiao","full_name":"Xiao, Xiaofei"},{"last_name":"Jacassi","full_name":"Jacassi, Andrea","first_name":"Andrea"},{"first_name":"Nicholas Alexander","full_name":"Güsken, Nicholas Alexander","id":"112030","last_name":"Güsken","orcid":"0000-0002-4816-0666"},{"first_name":"Yuxin","full_name":"Chen, Yuxin","last_name":"Chen"},{"full_name":"Xiao, Huaifeng","last_name":"Xiao","first_name":"Huaifeng"},{"first_name":"Yi","full_name":"Li, Yi","last_name":"Li"},{"full_name":"Riaz, Ahad","last_name":"Riaz","first_name":"Ahad"},{"full_name":"Maier, Stefan A.","last_name":"Maier","first_name":"Stefan A."},{"full_name":"Oulton, Rupert F.","last_name":"Oulton","first_name":"Rupert F."}],"volume":17,"title":"Near-unity Raman β-factor of surface-enhanced Raman scattering in a waveguide","doi":"10.1038/s41565-022-01232-y","publication_status":"published","publication_identifier":{"issn":["1748-3387","1748-3395"]},"issue":"12","year":"2022","citation":{"apa":"Fu, M., Mota, M. P. dS. P., Xiao, X., Jacassi, A., Güsken, N. A., Chen, Y., Xiao, H., Li, Y., Riaz, A., Maier, S. A., &#38; Oulton, R. F. (2022). Near-unity Raman β-factor of surface-enhanced Raman scattering in a waveguide. <i>Nature Nanotechnology</i>, <i>17</i>(12), 1251–1257. <a href=\"https://doi.org/10.1038/s41565-022-01232-y\">https://doi.org/10.1038/s41565-022-01232-y</a>","short":"M. Fu, M.P. dS. P. Mota, X. Xiao, A. Jacassi, N.A. Güsken, Y. Chen, H. Xiao, Y. Li, A. Riaz, S.A. Maier, R.F. Oulton, Nature Nanotechnology 17 (2022) 1251–1257.","mla":"Fu, Ming, et al. “Near-Unity Raman β-Factor of Surface-Enhanced Raman Scattering in a Waveguide.” <i>Nature Nanotechnology</i>, vol. 17, no. 12, Springer Science and Business Media LLC, 2022, pp. 1251–57, doi:<a href=\"https://doi.org/10.1038/s41565-022-01232-y\">10.1038/s41565-022-01232-y</a>.","bibtex":"@article{Fu_Mota_Xiao_Jacassi_Güsken_Chen_Xiao_Li_Riaz_Maier_et al._2022, title={Near-unity Raman β-factor of surface-enhanced Raman scattering in a waveguide}, volume={17}, DOI={<a href=\"https://doi.org/10.1038/s41565-022-01232-y\">10.1038/s41565-022-01232-y</a>}, number={12}, journal={Nature Nanotechnology}, publisher={Springer Science and Business Media LLC}, author={Fu, Ming and Mota, Mónica P. dS. P. and Xiao, Xiaofei and Jacassi, Andrea and Güsken, Nicholas Alexander and Chen, Yuxin and Xiao, Huaifeng and Li, Yi and Riaz, Ahad and Maier, Stefan A. and et al.}, year={2022}, pages={1251–1257} }","ama":"Fu M, Mota MP dS. P, Xiao X, et al. Near-unity Raman β-factor of surface-enhanced Raman scattering in a waveguide. <i>Nature Nanotechnology</i>. 2022;17(12):1251-1257. doi:<a href=\"https://doi.org/10.1038/s41565-022-01232-y\">10.1038/s41565-022-01232-y</a>","ieee":"M. Fu <i>et al.</i>, “Near-unity Raman β-factor of surface-enhanced Raman scattering in a waveguide,” <i>Nature Nanotechnology</i>, vol. 17, no. 12, pp. 1251–1257, 2022, doi: <a href=\"https://doi.org/10.1038/s41565-022-01232-y\">10.1038/s41565-022-01232-y</a>.","chicago":"Fu, Ming, Mónica P. dS. P. Mota, Xiaofei Xiao, Andrea Jacassi, Nicholas Alexander Güsken, Yuxin Chen, Huaifeng Xiao, et al. “Near-Unity Raman β-Factor of Surface-Enhanced Raman Scattering in a Waveguide.” <i>Nature Nanotechnology</i> 17, no. 12 (2022): 1251–57. <a href=\"https://doi.org/10.1038/s41565-022-01232-y\">https://doi.org/10.1038/s41565-022-01232-y</a>."},"page":"1251-1257","intvolume":"        17"},{"citation":{"bibtex":"@inproceedings{Güsken_2022, title={Plasmonic PICs—Terabit Modulation on the Micrometer Scale}, DOI={<a href=\"https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3\">https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3</a>}, publisher={Optica Publishing Group}, author={Güsken, Nicholas Alexander}, year={2022} }","short":"N.A. Güsken, in: Optica Publishing Group, 2022.","mla":"Güsken, Nicholas Alexander. <i>Plasmonic PICs—Terabit Modulation on the Micrometer Scale</i>. Optica Publishing Group, 2022, doi:<a href=\"https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3\">https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3</a>.","apa":"Güsken, N. A. (2022). <i>Plasmonic PICs—Terabit Modulation on the Micrometer Scale</i>. European Conference and Exhibition on Optical Communication. <a href=\"https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3\">https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3</a>","ieee":"N. A. Güsken, “Plasmonic PICs—Terabit Modulation on the Micrometer Scale,” presented at the European Conference and Exhibition on Optical Communication, 2022, doi: <a href=\"https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3\">https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3</a>.","chicago":"Güsken, Nicholas Alexander. “Plasmonic PICs—Terabit Modulation on the Micrometer Scale.” Optica Publishing Group, 2022. <a href=\"https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3\">https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3</a>.","ama":"Güsken NA. Plasmonic PICs—Terabit Modulation on the Micrometer Scale. In: Optica Publishing Group; 2022. doi:<a href=\"https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3\">https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3</a>"},"year":"2022","conference":{"name":"European Conference and Exhibition on Optical Communication"},"doi":"https://opg.optica.org/abstract.cfm?URI=ECEOC-2022-Tu4E.3","title":"Plasmonic PICs—Terabit Modulation on the Micrometer Scale","author":[{"first_name":"Nicholas Alexander","full_name":"Güsken, Nicholas Alexander","id":"112030","last_name":"Güsken","orcid":"0000-0002-4816-0666"}],"date_created":"2025-12-11T20:35:30Z","date_updated":"2026-01-08T16:08:47Z","publisher":"Optica Publishing Group","status":"public","type":"conference","language":[{"iso":"eng"}],"department":[{"_id":"623"},{"_id":"15"},{"_id":"230"}],"user_id":"112030","_id":"63041"},{"date_created":"2022-04-20T06:38:07Z","publisher":"American Physical Society (APS)","title":"Driven Gaussian quantum walks","issue":"4","year":"2022","language":[{"iso":"eng"}],"publication":"Physical Review A","abstract":[{"text":"Quantum walks function as essential means to implement quantum simulators, allowing one to study complex and often directly inaccessible quantum processes in controllable systems. In this contribution, the notion of a driven Gaussian quantum walk is introduced. In contrast to typically considered quantum walks in optical settings, we describe the operation of the walk in terms of a nonlinear map rather than a unitary operation, e.g., by replacing a beam-splitter-type coin with a two-mode squeezer, being a process that is controlled and driven by a pump field. This opens previously unattainable possibilities for quantum walks that include nonlinear elements as core components of their operation, vastly extending their range of applications. A full framework for driven Gaussian quantum walks is developed, including methods to dynamically characterize nonlinear, quantum, and quantum-nonlinear effects. Moreover, driven Gaussian quantum walks are compared with their classically interfering and linear counterparts, which are based on classical coherence of light rather than quantum superpositions. In particular, the generation and boost of highly multimode entanglement, squeezing, and other quantum effects are studied over the duration of the nonlinear walk. Importantly, we prove the quantumness of the evolution itself, regardless of the input state. A scheme for an experimental realization is proposed. Furthermore, nonlinear properties of driven Gaussian quantum walks are explored, such as amplification that leads to an ever increasing number of correlated quantum particles, constituting a source of new walkers during the walk. Therefore, a concept for quantum walks is proposed that leads to—and even produces—directly accessible quantum phenomena, and that renders the quantum simulation of nonlinear processes possible.","lang":"eng"}],"author":[{"first_name":"Philip","full_name":"Held, Philip","id":"68236","last_name":"Held"},{"full_name":"Engelkemeier, Melanie","last_name":"Engelkemeier","first_name":"Melanie"},{"full_name":"De, Syamsundar","last_name":"De","first_name":"Syamsundar"},{"id":"48188","full_name":"Barkhofen, Sonja","last_name":"Barkhofen","first_name":"Sonja"},{"first_name":"Jan","orcid":"0000-0002-5844-3205","last_name":"Sperling","id":"75127","full_name":"Sperling, Jan"},{"id":"26263","full_name":"Silberhorn, Christine","last_name":"Silberhorn","first_name":"Christine"}],"volume":105,"date_updated":"2026-01-09T09:50:22Z","main_file_link":[{"url":"https://journals.aps.org/pra/abstract/10.1103/PhysRevA.105.042210"}],"doi":"10.1103/physreva.105.042210","publication_status":"published","publication_identifier":{"issn":["2469-9926","2469-9934"]},"citation":{"apa":"Held, P., Engelkemeier, M., De, S., Barkhofen, S., Sperling, J., &#38; Silberhorn, C. (2022). Driven Gaussian quantum walks. <i>Physical Review A</i>, <i>105</i>(4), Article 042210. <a href=\"https://doi.org/10.1103/physreva.105.042210\">https://doi.org/10.1103/physreva.105.042210</a>","short":"P. Held, M. Engelkemeier, S. De, S. Barkhofen, J. Sperling, C. Silberhorn, Physical Review A 105 (2022).","bibtex":"@article{Held_Engelkemeier_De_Barkhofen_Sperling_Silberhorn_2022, title={Driven Gaussian quantum walks}, volume={105}, DOI={<a href=\"https://doi.org/10.1103/physreva.105.042210\">10.1103/physreva.105.042210</a>}, number={4042210}, journal={Physical Review A}, publisher={American Physical Society (APS)}, author={Held, Philip and Engelkemeier, Melanie and De, Syamsundar and Barkhofen, Sonja and Sperling, Jan and Silberhorn, Christine}, year={2022} }","mla":"Held, Philip, et al. “Driven Gaussian Quantum Walks.” <i>Physical Review A</i>, vol. 105, no. 4, 042210, American Physical Society (APS), 2022, doi:<a href=\"https://doi.org/10.1103/physreva.105.042210\">10.1103/physreva.105.042210</a>.","chicago":"Held, Philip, Melanie Engelkemeier, Syamsundar De, Sonja Barkhofen, Jan Sperling, and Christine Silberhorn. “Driven Gaussian Quantum Walks.” <i>Physical Review A</i> 105, no. 4 (2022). <a href=\"https://doi.org/10.1103/physreva.105.042210\">https://doi.org/10.1103/physreva.105.042210</a>.","ieee":"P. Held, M. Engelkemeier, S. De, S. Barkhofen, J. Sperling, and C. Silberhorn, “Driven Gaussian quantum walks,” <i>Physical Review A</i>, vol. 105, no. 4, Art. no. 042210, 2022, doi: <a href=\"https://doi.org/10.1103/physreva.105.042210\">10.1103/physreva.105.042210</a>.","ama":"Held P, Engelkemeier M, De S, Barkhofen S, Sperling J, Silberhorn C. Driven Gaussian quantum walks. <i>Physical Review A</i>. 2022;105(4). doi:<a href=\"https://doi.org/10.1103/physreva.105.042210\">10.1103/physreva.105.042210</a>"},"intvolume":"       105","user_id":"68236","department":[{"_id":"623"},{"_id":"15"},{"_id":"170"},{"_id":"706"},{"_id":"288"},{"_id":"230"},{"_id":"429"},{"_id":"35"}],"project":[{"_id":"56","name":"TRR 142 - C: TRR 142 - Project Area C"},{"_id":"53","name":"TRR 142: TRR 142"}],"_id":"30921","article_type":"original","article_number":"042210","type":"journal_article","status":"public"},{"citation":{"short":"M.M. Mombeck, Tiergestützte Pädagogik - ein junges Feld in der Bildungswissenschaft, 2022.","bibtex":"@book{Mombeck_2022, title={Tiergestützte Pädagogik - ein junges Feld in der Bildungswissenschaft}, author={Mombeck, Mona Maria}, year={2022} }","mla":"Mombeck, Mona Maria. <i>Tiergestützte Pädagogik - ein junges Feld in der Bildungswissenschaft</i>. 2022.","apa":"Mombeck, M. M. (2022). <i>Tiergestützte Pädagogik - ein junges Feld in der Bildungswissenschaft</i>.","chicago":"Mombeck, Mona Maria. <i>Tiergestützte Pädagogik - ein junges Feld in der Bildungswissenschaft</i>, 2022.","ieee":"M. M. Mombeck, <i>Tiergestützte Pädagogik - ein junges Feld in der Bildungswissenschaft</i>. 2022.","ama":"Mombeck MM. <i>Tiergestützte Pädagogik - ein junges Feld in der Bildungswissenschaft</i>.; 2022."},"year":"2022","title":"Tiergestützte Pädagogik - ein junges Feld in der Bildungswissenschaft","date_created":"2024-05-28T08:45:55Z","author":[{"first_name":"Mona Maria","id":"29268","full_name":"Mombeck, Mona Maria","last_name":"Mombeck"}],"date_updated":"2026-01-11T12:05:44Z","status":"public","abstract":[{"lang":"ger","text":"Vortrag Arbeitskreis Schulbegleithunde [online]"}],"type":"misc","language":[{"iso":"ger"}],"user_id":"29268","_id":"54489"}]
