[{"abstract":[{"lang":"eng","text":"<jats:p>We propose and study a class of parabolic-ordinary differential equation models involving chemotaxis and haptotaxis of a species following signals indirectly produced by another, non-motile one. The setting is motivated by cancer invasion mediated by interactions with the tumour microenvironment, but has much wider applicability, being able to comprise descriptions of biologically quite different problems. As a main mathematical feature constituting a core difference to both classical Keller–Segel chemotaxis systems and Chaplain–Lolas type chemotaxis–haptotaxis systems, the considered model accounts for certain types of indirect signal production mechanisms. The main results assert unique global classical solvability under suitably mild assumptions on the system parameter functions in associated spatially two-dimensional initial-boundary value problems. In particular, this rigorously confirms that at least in two-dimensional settings, the considered indirectness in signal production induces a significant blow-up suppressing tendency also in taxis systems substantially more general than some particular examples for which corresponding effects have recently been observed.</jats:p>"}],"issue":"4","publication":"European Journal of Applied Mathematics","type":"journal_article","date_created":"2025-12-18T19:31:21Z","intvolume":"        32","publication_status":"published","date_updated":"2025-12-18T20:06:05Z","publication_identifier":{"issn":["0956-7925","1469-4425"]},"author":[{"full_name":"SURULESCU, CHRISTINA","last_name":"SURULESCU","first_name":"CHRISTINA"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael","id":"31496"}],"year":"2020","title":"Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more)","doi":"10.1017/s0956792520000236","language":[{"iso":"eng"}],"citation":{"chicago":"SURULESCU, CHRISTINA, and Michael Winkler. “Does Indirectness of Signal Production Reduce the Explosion-Supporting Potential in Chemotaxis–Haptotaxis Systems? Global Classical Solvability in a Class of Models for Cancer Invasion (and More).” <i>European Journal of Applied Mathematics</i> 32, no. 4 (2020): 618–51. <a href=\"https://doi.org/10.1017/s0956792520000236\">https://doi.org/10.1017/s0956792520000236</a>.","short":"C. SURULESCU, M. Winkler, European Journal of Applied Mathematics 32 (2020) 618–651.","apa":"SURULESCU, C., &#38; Winkler, M. (2020). Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more). <i>European Journal of Applied Mathematics</i>, <i>32</i>(4), 618–651. <a href=\"https://doi.org/10.1017/s0956792520000236\">https://doi.org/10.1017/s0956792520000236</a>","ieee":"C. SURULESCU and M. Winkler, “Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more),” <i>European Journal of Applied Mathematics</i>, vol. 32, no. 4, pp. 618–651, 2020, doi: <a href=\"https://doi.org/10.1017/s0956792520000236\">10.1017/s0956792520000236</a>.","ama":"SURULESCU C, Winkler M. Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more). <i>European Journal of Applied Mathematics</i>. 2020;32(4):618-651. doi:<a href=\"https://doi.org/10.1017/s0956792520000236\">10.1017/s0956792520000236</a>","bibtex":"@article{SURULESCU_Winkler_2020, title={Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis–haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more)}, volume={32}, DOI={<a href=\"https://doi.org/10.1017/s0956792520000236\">10.1017/s0956792520000236</a>}, number={4}, journal={European Journal of Applied Mathematics}, publisher={Cambridge University Press (CUP)}, author={SURULESCU, CHRISTINA and Winkler, Michael}, year={2020}, pages={618–651} }","mla":"SURULESCU, CHRISTINA, and Michael Winkler. “Does Indirectness of Signal Production Reduce the Explosion-Supporting Potential in Chemotaxis–Haptotaxis Systems? Global Classical Solvability in a Class of Models for Cancer Invasion (and More).” <i>European Journal of Applied Mathematics</i>, vol. 32, no. 4, Cambridge University Press (CUP), 2020, pp. 618–51, doi:<a href=\"https://doi.org/10.1017/s0956792520000236\">10.1017/s0956792520000236</a>."},"status":"public","volume":32,"user_id":"31496","publisher":"Cambridge University Press (CUP)","_id":"63314","page":"618-651"},{"doi":"10.1007/s10884-020-09892-x","language":[{"iso":"eng"}],"intvolume":"        36","date_updated":"2025-12-18T20:10:07Z","publication_status":"published","author":[{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael","id":"31496"}],"publication_identifier":{"issn":["1040-7294","1572-9222"]},"title":"Approaching Critical Decay in a Strongly Degenerate Parabolic Equation","year":"2020","type":"journal_article","date_created":"2025-12-18T19:10:01Z","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The Cauchy problem in <jats:inline-formula><jats:alternatives><jats:tex-math>$${\\mathbb {R}}^n$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\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:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$n\\ge 1$$</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>1</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, for the parabolic equation <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} u_t=u^p \\Delta u \\qquad \\qquad (\\star ) \\end{aligned}$$</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: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:msup>\r\n                              <mml:mi>u</mml:mi>\r\n                              <mml:mi>p</mml:mi>\r\n                            </mml:msup>\r\n                            <mml:mi>Δ</mml:mi>\r\n                            <mml:mi>u</mml:mi>\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 in the strongly degenerate regime <jats:inline-formula><jats:alternatives><jats:tex-math>$$p\\ge 1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>p</mml:mi>\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>. The focus is firstly on the case of positive continuous and bounded initial data, in which it is known that a minimal positive classical solution exists, and that this solution satisfies <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} t^\\frac{1}{p}\\Vert u(\\cdot ,t)\\Vert _{L^\\infty ({\\mathbb {R}}^n)} \\rightarrow \\infty \\quad \\hbox {as } t\\rightarrow \\infty . \\end{aligned}$$</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:msup>\r\n                              <mml:mi>t</mml:mi>\r\n                              <mml:mfrac>\r\n                                <mml:mn>1</mml:mn>\r\n                                <mml:mi>p</mml:mi>\r\n                              </mml:mfrac>\r\n                            </mml:msup>\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: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: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>∞</mml:mi>\r\n                            <mml:mspace/>\r\n                            <mml:mtext>as</mml:mtext>\r\n                            <mml:mspace/>\r\n                            <mml:mi>t</mml:mi>\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:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>The first result of this study complements this by asserting that given any positive <jats:inline-formula><jats:alternatives><jats:tex-math>$$f\\in C^0([0,\\infty ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>f</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mi>C</mml:mi>\r\n                      <mml:mn>0</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> fulfilling <jats:inline-formula><jats:alternatives><jats:tex-math>$$f(t)\\rightarrow +\\infty $$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>f</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> one can find a positive nondecreasing function <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\phi \\in C^0([0,\\infty ))$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mi>ϕ</mml:mi>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mi>C</mml:mi>\r\n                      <mml:mn>0</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> such that whenever <jats:inline-formula><jats:alternatives><jats:tex-math>$$u_0\\in C^0({\\mathbb {R}}^n)$$</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>u</mml:mi>\r\n                      <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n                    <mml:mo>∈</mml:mo>\r\n                    <mml:msup>\r\n                      <mml:mi>C</mml:mi>\r\n                      <mml:mn>0</mml:mn>\r\n                    </mml:msup>\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:mo>)</mml:mo>\r\n                    </mml:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> is radially symmetric with <jats:inline-formula><jats:alternatives><jats:tex-math>$$0&lt; u_0 &lt; \\phi (|\\cdot |)$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mn>0</mml:mn>\r\n                    <mml:mo>&lt;</mml:mo>\r\n                    <mml:msub>\r\n                      <mml:mi>u</mml:mi>\r\n                      <mml:mn>0</mml:mn>\r\n                    </mml:msub>\r\n                    <mml:mrow>\r\n                      <mml:mo>&lt;</mml:mo>\r\n                      <mml:mi>ϕ</mml:mi>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mo>|</mml:mo>\r\n                    </mml:mrow>\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:mrow>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>, the corresponding minimal solution <jats:italic>u</jats:italic> satisfies <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\frac{t^\\frac{1}{p}\\Vert u(\\cdot ,t)\\Vert _{L^\\infty ({\\mathbb {R}}^n)}}{f(t)} \\rightarrow 0 \\quad \\hbox {as } t\\rightarrow \\infty . \\end{aligned}$$</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:msup>\r\n                                  <mml:mi>t</mml:mi>\r\n                                  <mml:mfrac>\r\n                                    <mml:mn>1</mml:mn>\r\n                                    <mml:mi>p</mml:mi>\r\n                                  </mml:mfrac>\r\n                                </mml:msup>\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: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:mo>)</mml:mo>\r\n                                    </mml:mrow>\r\n                                  </mml:mrow>\r\n                                </mml:msub>\r\n                              </mml:mrow>\r\n                              <mml:mrow>\r\n                                <mml:mi>f</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:mfrac>\r\n                            <mml:mo>→</mml:mo>\r\n                            <mml:mn>0</mml:mn>\r\n                            <mml:mspace/>\r\n                            <mml:mtext>as</mml:mtext>\r\n                            <mml:mspace/>\r\n                            <mml:mi>t</mml:mi>\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:mtd>\r\n                      </mml:mtr>\r\n                    </mml:mtable>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:disp-formula>Secondly, (<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>) is considered along with initial conditions involving nonnegative but not necessarily strictly positive bounded and continuous initial data <jats:inline-formula><jats:alternatives><jats:tex-math>$$u_0$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:msub>\r\n                    <mml:mi>u</mml:mi>\r\n                    <mml:mn>0</mml:mn>\r\n                  </mml:msub>\r\n                </mml:math></jats:alternatives></jats:inline-formula>. It is shown that if the connected components of <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\{u_0&gt;0\\}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mo>{</mml:mo>\r\n                    <mml:msub>\r\n                      <mml:mi>u</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:mo>}</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> comply with a condition reflecting some uniform boundedness property, then a corresponding uniquely determined continuous weak solution to (<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>) satisfies <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} 0&lt; \\liminf _{t\\rightarrow \\infty } \\Big \\{ t^\\frac{1}{p} \\Vert u(\\cdot ,t)\\Vert _{L^\\infty ({\\mathbb {R}}^n)} \\Big \\} \\le \\limsup _{t\\rightarrow \\infty } \\Big \\{ t^\\frac{1}{p} \\Vert u(\\cdot ,t)\\Vert _{L^\\infty ({\\mathbb {R}}^n)} \\Big \\} &lt;\\infty . \\end{aligned}$$</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:mn>0</mml:mn>\r\n                            <mml:mo>&lt;</mml:mo>\r\n                            <mml:munder>\r\n                              <mml:mo>lim inf</mml:mo>\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:munder>\r\n                            <mml:mrow>\r\n                              <mml:mo>{</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:msup>\r\n                              <mml:mi>t</mml:mi>\r\n                              <mml:mfrac>\r\n                                <mml:mn>1</mml:mn>\r\n                                <mml:mi>p</mml:mi>\r\n                              </mml:mfrac>\r\n                            </mml:msup>\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: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:mo>)</mml:mo>\r\n                                </mml:mrow>\r\n                              </mml:mrow>\r\n                            </mml:msub>\r\n                            <mml:mrow>\r\n                              <mml:mo>}</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mo>≤</mml:mo>\r\n                            <mml:munder>\r\n                              <mml:mo>lim sup</mml:mo>\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:munder>\r\n                            <mml:mrow>\r\n                              <mml:mo>{</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:msup>\r\n                              <mml:mi>t</mml:mi>\r\n                              <mml:mfrac>\r\n                                <mml:mn>1</mml:mn>\r\n                                <mml:mi>p</mml:mi>\r\n                              </mml:mfrac>\r\n                            </mml:msup>\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: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:mo>)</mml:mo>\r\n                                </mml:mrow>\r\n                              </mml:mrow>\r\n                            </mml:msub>\r\n                            <mml:mrow>\r\n                              <mml:mo>}</mml:mo>\r\n                            </mml:mrow>\r\n                            <mml:mo>&lt;</mml:mo>\r\n                            <mml:mi>∞</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:math></jats:alternatives></jats:disp-formula>Under a somewhat complementary hypothesis, particularly fulfilled if <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\{u_0&gt;0\\}$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mo>{</mml:mo>\r\n                    <mml:msub>\r\n                      <mml:mi>u</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:mo>}</mml:mo>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> contains components with arbitrarily small principal eigenvalues of the associated Dirichlet Laplacian, it is finally seen that (0.1) continues to hold also for such not everywhere positive weak solutions.</jats:p>","lang":"eng"}],"publication":"Journal of Dynamics and Differential Equations","issue":"S1","volume":36,"user_id":"31496","_id":"63265","publisher":"Springer Science and Business Media LLC","page":"3-23","status":"public","citation":{"bibtex":"@article{Winkler_2020, title={Approaching Critical Decay in a Strongly Degenerate Parabolic Equation}, volume={36}, DOI={<a href=\"https://doi.org/10.1007/s10884-020-09892-x\">10.1007/s10884-020-09892-x</a>}, number={S1}, journal={Journal of Dynamics and Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2020}, pages={3–23} }","ama":"Winkler M. Approaching Critical Decay in a Strongly Degenerate Parabolic Equation. <i>Journal of Dynamics and Differential Equations</i>. 2020;36(S1):3-23. doi:<a href=\"https://doi.org/10.1007/s10884-020-09892-x\">10.1007/s10884-020-09892-x</a>","mla":"Winkler, Michael. “Approaching Critical Decay in a Strongly Degenerate Parabolic Equation.” <i>Journal of Dynamics and Differential Equations</i>, vol. 36, no. S1, Springer Science and Business Media LLC, 2020, pp. 3–23, doi:<a href=\"https://doi.org/10.1007/s10884-020-09892-x\">10.1007/s10884-020-09892-x</a>.","chicago":"Winkler, Michael. “Approaching Critical Decay in a Strongly Degenerate Parabolic Equation.” <i>Journal of Dynamics and Differential Equations</i> 36, no. S1 (2020): 3–23. <a href=\"https://doi.org/10.1007/s10884-020-09892-x\">https://doi.org/10.1007/s10884-020-09892-x</a>.","short":"M. Winkler, Journal of Dynamics and Differential Equations 36 (2020) 3–23.","ieee":"M. Winkler, “Approaching Critical Decay in a Strongly Degenerate Parabolic Equation,” <i>Journal of Dynamics and Differential Equations</i>, vol. 36, no. S1, pp. 3–23, 2020, doi: <a href=\"https://doi.org/10.1007/s10884-020-09892-x\">10.1007/s10884-020-09892-x</a>.","apa":"Winkler, M. (2020). Approaching Critical Decay in a Strongly Degenerate Parabolic Equation. <i>Journal of Dynamics and Differential Equations</i>, <i>36</i>(S1), 3–23. <a href=\"https://doi.org/10.1007/s10884-020-09892-x\">https://doi.org/10.1007/s10884-020-09892-x</a>"}},{"user_id":"11829","doi":"10.1515/teme-2020-0012","page":"50-55","language":[{"iso":"eng"}],"_id":"19313","publication_status":"published","date_updated":"2026-01-05T07:53:10Z","status":"public","title":"Inverse piezoelectric material parameter characterization using a single disc-shaped specimen","year":"2020","author":[{"last_name":"Feldmann","first_name":"Nadine","full_name":"Feldmann, Nadine","id":"23082"},{"full_name":"Schulze, Veronika","first_name":"Veronika","last_name":"Schulze"},{"full_name":"Claes, Leander","first_name":"Leander","last_name":"Claes","orcid":"0000-0002-4393-268X","id":"11829"},{"full_name":"Jurgelucks, Benjamin","first_name":"Benjamin","last_name":"Jurgelucks"},{"full_name":"Walther, Andrea","first_name":"Andrea","last_name":"Walther"},{"last_name":"Henning","first_name":"Bernd","full_name":"Henning, Bernd","id":"213"}],"publication_identifier":{"issn":["2196-7113","0171-8096"]},"type":"journal_article","department":[{"_id":"49"}],"date_created":"2020-09-11T11:57:50Z","quality_controlled":"1","abstract":[{"lang":"eng","text":"The increasingly simulation-driven design process of ultrasonic transducers requires several reliable parameters for the description of the material behaviour. Exact results can only be achieved when a single specimen is used in the identification process, which typically is prone to the problem of low sensitivities to certain material parameters and thus high uncertainties. Therefore, a custom electrode topology for increased sensitivity is proposed for a piezoceramic disc. The thereupon conducted measurements of the electric impedance can be used as a starting point for an inverse approach where an equivalent simulation model is used to identify fitting material parameters. An optimisation strategy based on a preliminary sensitivity analysis is presented that leads to a good agreement between measurement and simulation. Furthermore, the proposed measurement procedure is able to evaluate the quality of the simulation model. Hence, different frequency-dependent damping models are presented and evaluated."}],"project":[{"name":"Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums","_id":"90"},{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"publication":"tm - Technisches Messen","citation":{"short":"N. Feldmann, V. Schulze, L. Claes, B. Jurgelucks, A. Walther, B. Henning, Tm - Technisches Messen (2020) 50–55.","chicago":"Feldmann, Nadine, Veronika Schulze, Leander Claes, Benjamin Jurgelucks, Andrea Walther, and Bernd Henning. “Inverse Piezoelectric Material Parameter Characterization Using a Single Disc-Shaped Specimen.” <i>Tm - Technisches Messen</i>, 2020, 50–55. <a href=\"https://doi.org/10.1515/teme-2020-0012\">https://doi.org/10.1515/teme-2020-0012</a>.","ieee":"N. Feldmann, V. Schulze, L. Claes, B. Jurgelucks, A. Walther, and B. Henning, “Inverse piezoelectric material parameter characterization using a single disc-shaped specimen,” <i>tm - Technisches Messen</i>, pp. 50–55, 2020, doi: <a href=\"https://doi.org/10.1515/teme-2020-0012\">10.1515/teme-2020-0012</a>.","apa":"Feldmann, N., Schulze, V., Claes, L., Jurgelucks, B., Walther, A., &#38; Henning, B. (2020). Inverse piezoelectric material parameter characterization using a single disc-shaped specimen. <i>Tm - Technisches Messen</i>, 50–55. <a href=\"https://doi.org/10.1515/teme-2020-0012\">https://doi.org/10.1515/teme-2020-0012</a>","bibtex":"@article{Feldmann_Schulze_Claes_Jurgelucks_Walther_Henning_2020, title={Inverse piezoelectric material parameter characterization using a single disc-shaped specimen}, DOI={<a href=\"https://doi.org/10.1515/teme-2020-0012\">10.1515/teme-2020-0012</a>}, journal={tm - Technisches Messen}, author={Feldmann, Nadine and Schulze, Veronika and Claes, Leander and Jurgelucks, Benjamin and Walther, Andrea and Henning, Bernd}, year={2020}, pages={50–55} }","ama":"Feldmann N, Schulze V, Claes L, Jurgelucks B, Walther A, Henning B. Inverse piezoelectric material parameter characterization using a single disc-shaped specimen. <i>tm - Technisches Messen</i>. Published online 2020:50-55. doi:<a href=\"https://doi.org/10.1515/teme-2020-0012\">10.1515/teme-2020-0012</a>","mla":"Feldmann, Nadine, et al. “Inverse Piezoelectric Material Parameter Characterization Using a Single Disc-Shaped Specimen.” <i>Tm - Technisches Messen</i>, 2020, pp. 50–55, doi:<a href=\"https://doi.org/10.1515/teme-2020-0012\">10.1515/teme-2020-0012</a>."}},{"citation":{"mla":"Sistani, Masiar, et al. “Plasmon-Driven Hot Electron Transfer at Atomically Sharp Metal–Semiconductor Nanojunctions.” <i>ACS Photonics</i>, vol. 7, no. 7, American Chemical Society (ACS), 2020, pp. 1642–48, doi:<a href=\"https://doi.org/10.1021/acsphotonics.0c00557\">10.1021/acsphotonics.0c00557</a>.","ama":"Sistani M, Bartmann MG, Güsken NA, et al. Plasmon-Driven Hot Electron Transfer at Atomically Sharp Metal–Semiconductor Nanojunctions. <i>ACS Photonics</i>. 2020;7(7):1642-1648. doi:<a href=\"https://doi.org/10.1021/acsphotonics.0c00557\">10.1021/acsphotonics.0c00557</a>","bibtex":"@article{Sistani_Bartmann_Güsken_Oulton_Keshmiri_Luong_Momtaz_Den Hertog_Lugstein_2020, title={Plasmon-Driven Hot Electron Transfer at Atomically Sharp Metal–Semiconductor Nanojunctions}, volume={7}, DOI={<a href=\"https://doi.org/10.1021/acsphotonics.0c00557\">10.1021/acsphotonics.0c00557</a>}, number={7}, journal={ACS Photonics}, publisher={American Chemical Society (ACS)}, author={Sistani, Masiar and Bartmann, Maximilian G. and Güsken, Nicholas Alexander and Oulton, Rupert F. and Keshmiri, Hamid and Luong, Minh Anh and Momtaz, Zahra Sadre and Den Hertog, Martien I. and Lugstein, Alois}, year={2020}, pages={1642–1648} }","apa":"Sistani, M., Bartmann, M. G., Güsken, N. A., Oulton, R. F., Keshmiri, H., Luong, M. A., Momtaz, Z. S., Den Hertog, M. I., &#38; Lugstein, A. (2020). Plasmon-Driven Hot Electron Transfer at Atomically Sharp Metal–Semiconductor Nanojunctions. <i>ACS Photonics</i>, <i>7</i>(7), 1642–1648. <a href=\"https://doi.org/10.1021/acsphotonics.0c00557\">https://doi.org/10.1021/acsphotonics.0c00557</a>","ieee":"M. Sistani <i>et al.</i>, “Plasmon-Driven Hot Electron Transfer at Atomically Sharp Metal–Semiconductor Nanojunctions,” <i>ACS Photonics</i>, vol. 7, no. 7, pp. 1642–1648, 2020, doi: <a href=\"https://doi.org/10.1021/acsphotonics.0c00557\">10.1021/acsphotonics.0c00557</a>.","chicago":"Sistani, Masiar, Maximilian G. Bartmann, Nicholas Alexander Güsken, Rupert F. Oulton, Hamid Keshmiri, Minh Anh Luong, Zahra Sadre Momtaz, Martien I. Den Hertog, and Alois Lugstein. “Plasmon-Driven Hot Electron Transfer at Atomically Sharp Metal–Semiconductor Nanojunctions.” <i>ACS Photonics</i> 7, no. 7 (2020): 1642–48. <a href=\"https://doi.org/10.1021/acsphotonics.0c00557\">https://doi.org/10.1021/acsphotonics.0c00557</a>.","short":"M. Sistani, M.G. Bartmann, N.A. Güsken, R.F. Oulton, H. Keshmiri, M.A. Luong, Z.S. Momtaz, M.I. Den Hertog, A. Lugstein, ACS Photonics 7 (2020) 1642–1648."},"user_id":"112030","volume":7,"page":"1642-1648","publisher":"American Chemical Society (ACS)","_id":"63038","status":"public","type":"journal_article","department":[{"_id":"623"},{"_id":"15"},{"_id":"230"}],"date_created":"2025-12-11T20:31:21Z","publication":"ACS Photonics","issue":"7","doi":"10.1021/acsphotonics.0c00557","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2026-01-08T16:08:03Z","intvolume":"         7","year":"2020","title":"Plasmon-Driven Hot Electron Transfer at Atomically Sharp Metal–Semiconductor Nanojunctions","author":[{"full_name":"Sistani, Masiar","first_name":"Masiar","last_name":"Sistani"},{"last_name":"Bartmann","first_name":"Maximilian G.","full_name":"Bartmann, Maximilian G."},{"first_name":"Nicholas Alexander","orcid":"0000-0002-4816-0666","last_name":"Güsken","full_name":"Güsken, Nicholas Alexander","id":"112030"},{"full_name":"Oulton, Rupert F.","last_name":"Oulton","first_name":"Rupert F."},{"last_name":"Keshmiri","first_name":"Hamid","full_name":"Keshmiri, Hamid"},{"first_name":"Minh Anh","last_name":"Luong","full_name":"Luong, Minh Anh"},{"last_name":"Momtaz","first_name":"Zahra Sadre","full_name":"Momtaz, Zahra Sadre"},{"full_name":"Den Hertog, Martien I.","last_name":"Den Hertog","first_name":"Martien I."},{"last_name":"Lugstein","first_name":"Alois","full_name":"Lugstein, Alois"}],"publication_identifier":{"issn":["2330-4022","2330-4022"]}},{"date_created":"2025-12-11T20:36:32Z","type":"journal_article","department":[{"_id":"623"},{"_id":"15"},{"_id":"230"}],"issue":"25","publication":"The Journal of Physical Chemistry C","language":[{"iso":"eng"}],"doi":"10.1021/acs.jpcc.0c02602","title":"Stimulated Raman Scattering in Ge Nanowires","year":"2020","publication_identifier":{"issn":["1932-7447","1932-7455"]},"author":[{"full_name":"Sistani, Masiar","last_name":"Sistani","first_name":"Masiar"},{"full_name":"Bartmann, Maximilian G.","last_name":"Bartmann","first_name":"Maximilian G."},{"id":"112030","full_name":"Güsken, Nicholas Alexander","orcid":"0000-0002-4816-0666","last_name":"Güsken","first_name":"Nicholas Alexander"},{"first_name":"Rupert F.","last_name":"Oulton","full_name":"Oulton, Rupert F."},{"full_name":"Keshmiri, Hamid","first_name":"Hamid","last_name":"Keshmiri"},{"full_name":"Luong, Minh Anh","last_name":"Luong","first_name":"Minh Anh"},{"full_name":"Robin, Eric","last_name":"Robin","first_name":"Eric"},{"first_name":"Martien I.","last_name":"den Hertog","full_name":"den Hertog, Martien I."},{"full_name":"Lugstein, Alois","last_name":"Lugstein","first_name":"Alois"}],"publication_status":"published","date_updated":"2026-01-08T16:08:10Z","intvolume":"       124","citation":{"ama":"Sistani M, Bartmann MG, Güsken NA, et al. Stimulated Raman Scattering in Ge Nanowires. <i>The Journal of Physical Chemistry C</i>. 2020;124(25):13872-13877. doi:<a href=\"https://doi.org/10.1021/acs.jpcc.0c02602\">10.1021/acs.jpcc.0c02602</a>","bibtex":"@article{Sistani_Bartmann_Güsken_Oulton_Keshmiri_Luong_Robin_den Hertog_Lugstein_2020, title={Stimulated Raman Scattering in Ge Nanowires}, volume={124}, DOI={<a href=\"https://doi.org/10.1021/acs.jpcc.0c02602\">10.1021/acs.jpcc.0c02602</a>}, number={25}, journal={The Journal of Physical Chemistry C}, publisher={American Chemical Society (ACS)}, author={Sistani, Masiar and Bartmann, Maximilian G. and Güsken, Nicholas Alexander and Oulton, Rupert F. and Keshmiri, Hamid and Luong, Minh Anh and Robin, Eric and den Hertog, Martien I. and Lugstein, Alois}, year={2020}, pages={13872–13877} }","mla":"Sistani, Masiar, et al. “Stimulated Raman Scattering in Ge Nanowires.” <i>The Journal of Physical Chemistry C</i>, vol. 124, no. 25, American Chemical Society (ACS), 2020, pp. 13872–77, doi:<a href=\"https://doi.org/10.1021/acs.jpcc.0c02602\">10.1021/acs.jpcc.0c02602</a>.","short":"M. Sistani, M.G. Bartmann, N.A. Güsken, R.F. Oulton, H. Keshmiri, M.A. Luong, E. Robin, M.I. den Hertog, A. Lugstein, The Journal of Physical Chemistry C 124 (2020) 13872–13877.","chicago":"Sistani, Masiar, Maximilian G. Bartmann, Nicholas Alexander Güsken, Rupert F. Oulton, Hamid Keshmiri, Minh Anh Luong, Eric Robin, Martien I. den Hertog, and Alois Lugstein. “Stimulated Raman Scattering in Ge Nanowires.” <i>The Journal of Physical Chemistry C</i> 124, no. 25 (2020): 13872–77. <a href=\"https://doi.org/10.1021/acs.jpcc.0c02602\">https://doi.org/10.1021/acs.jpcc.0c02602</a>.","apa":"Sistani, M., Bartmann, M. G., Güsken, N. A., Oulton, R. F., Keshmiri, H., Luong, M. A., Robin, E., den Hertog, M. I., &#38; Lugstein, A. (2020). Stimulated Raman Scattering in Ge Nanowires. <i>The Journal of Physical Chemistry C</i>, <i>124</i>(25), 13872–13877. <a href=\"https://doi.org/10.1021/acs.jpcc.0c02602\">https://doi.org/10.1021/acs.jpcc.0c02602</a>","ieee":"M. Sistani <i>et al.</i>, “Stimulated Raman Scattering in Ge Nanowires,” <i>The Journal of Physical Chemistry C</i>, vol. 124, no. 25, pp. 13872–13877, 2020, doi: <a href=\"https://doi.org/10.1021/acs.jpcc.0c02602\">10.1021/acs.jpcc.0c02602</a>."},"page":"13872-13877","_id":"63042","publisher":"American Chemical Society (ACS)","user_id":"112030","volume":124,"status":"public"},{"date_created":"2024-11-15T15:27:56Z","type":"journal_article","issue":"2","publication":"kjl&m","citation":{"apa":"Jagdschian, L. C. (2020). Erinnerungen als Lebensgeschichte. Zur ersten Biografie über Judith Kerr. <i>Kjl&#38;m</i>, <i>72</i>(2), 58–64.","ieee":"L. C. Jagdschian, “Erinnerungen als Lebensgeschichte. Zur ersten Biografie über Judith Kerr,” <i>kjl&#38;m</i>, vol. 72, no. 2, pp. 58–64, 2020.","short":"L.C. Jagdschian, Kjl&#38;m 72 (2020) 58–64.","chicago":"Jagdschian, Larissa Carolin. “Erinnerungen Als Lebensgeschichte. Zur Ersten Biografie Über Judith Kerr.” <i>Kjl&#38;m</i> 72, no. 2 (2020): 58–64.","mla":"Jagdschian, Larissa Carolin. “Erinnerungen Als Lebensgeschichte. Zur Ersten Biografie Über Judith Kerr.” <i>Kjl&#38;m</i>, vol. 72, no. 2, 2020, pp. 58–64.","ama":"Jagdschian LC. Erinnerungen als Lebensgeschichte. Zur ersten Biografie über Judith Kerr. <i>kjl&#38;m</i>. 2020;72(2):58-64.","bibtex":"@article{Jagdschian_2020, title={Erinnerungen als Lebensgeschichte. Zur ersten Biografie über Judith Kerr}, volume={72}, number={2}, journal={kjl&#38;m}, author={Jagdschian, Larissa Carolin}, year={2020}, pages={58–64} }"},"page":"58-64","language":[{"iso":"eng"}],"_id":"57114","user_id":"105606","volume":72,"year":"2020","title":"Erinnerungen als Lebensgeschichte. 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Mertens. “Beyond Words: Children’s Multimodal Responses during Word Learning with a Social Robot.” In <i>International Perspectives on Digital Media and Early Literacy</i>, edited by Katharina J. Rohlfing and Claudia Müller-Brauers, 90–102. London: Routledge, 2020. <a href=\"https://doi.org/10.4324/9780429321399-7\">https://doi.org/10.4324/9780429321399-7</a>.","ieee":"N. F. Tolksdorf and U. J. Mertens, “Beyond words: Children’s multimodal responses during word learning with a social robot,” in <i>International Perspectives on Digital Media and Early Literacy</i>, K. J. Rohlfing and C. Müller-Brauers, Eds. London: Routledge, 2020, pp. 90–102.","apa":"Tolksdorf, N. F., &#38; Mertens, U. J. (2020). Beyond words: Children’s multimodal responses during word learning with a social robot. In K. J. Rohlfing &#38; C. Müller-Brauers (Eds.), <i>International Perspectives on Digital Media and Early Literacy</i> (pp. 90–102). Routledge. <a href=\"https://doi.org/10.4324/9780429321399-7\">https://doi.org/10.4324/9780429321399-7</a>","bibtex":"@inbook{Tolksdorf_Mertens_2020, place={London}, title={Beyond words: Children’s multimodal responses during word learning with a social robot}, DOI={<a href=\"https://doi.org/10.4324/9780429321399-7\">10.4324/9780429321399-7</a>}, booktitle={International Perspectives on Digital Media and Early Literacy}, publisher={Routledge}, author={Tolksdorf, Nils Frederik and Mertens, Ulrich J.}, editor={Rohlfing, Katharina J. and Müller-Brauers, Claudia}, year={2020}, pages={90–102} }","ama":"Tolksdorf NF, Mertens UJ. Beyond words: Children’s multimodal responses during word learning with a social robot. In: Rohlfing KJ, Müller-Brauers C, eds. <i>International Perspectives on Digital Media and Early Literacy</i>. Routledge; 2020:90-102. doi:<a href=\"https://doi.org/10.4324/9780429321399-7\">10.4324/9780429321399-7</a>","mla":"Tolksdorf, Nils Frederik, and Ulrich J. Mertens. “Beyond Words: Children’s Multimodal Responses during Word Learning with a Social Robot.” <i>International Perspectives on Digital Media and Early Literacy</i>, edited by Katharina J. Rohlfing and Claudia Müller-Brauers, Routledge, 2020, pp. 90–102, doi:<a href=\"https://doi.org/10.4324/9780429321399-7\">10.4324/9780429321399-7</a>."},"doi":"10.4324/9780429321399-7","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2024-11-28T08:41:18Z","title":"Beyond words: Children’s multimodal responses during word learning with a social robot","year":"2020","publication_identifier":{"eisbn":["9780429321399"]},"author":[{"last_name":"Tolksdorf","first_name":"Nils Frederik","orcid":"0000-0001-6093-1219","full_name":"Tolksdorf, Nils Frederik","id":"43289"},{"last_name":"Mertens","first_name":"Ulrich J.","full_name":"Mertens, Ulrich J."}],"type":"book_chapter","date_created":"2021-09-23T11:10:23Z","abstract":[{"text":"Digital devices such as social robots are increasingly being developed as artificially intelligent learning tools that could support and expand early childhood education by providing new ways to engage children in social interaction. Given this potential, research in child-robot interaction has begun to investigate which aspects of a robot’s behavior provide advantages within the interaction. However, a perspective that addresses the child’s communicative behavior within a child-robot interaction is seldom explored. In this chapter, the results of a long-term child-robot study with preschool children are presented, in which children’s multimodal response behavior during a word learning task with a social robot was in focus. The results reveal that children not only used different communicative multimodal signals such as gestures or delay markers when interacting with the robot, but also changed their behavior over the course of the sessions. The findings suggest that children shape their responses to a robot in a manifold multimodal way beyond verbal lexical utterances. Finally, implications for future child-robot interaction research, as well as identifying issues that will need to be resolved for social robots to be helpful and responsive in interaction with young learners, are discussed.","lang":"eng"}],"publication":"International Perspectives on Digital Media and Early Literacy"},{"user_id":"43289","doi":"10.1109/ro-man47096.2020.9223540","language":[{"iso":"eng"}],"_id":"24904","publication_status":"published","date_updated":"2024-11-28T08:41:40Z","author":[{"id":"43289","orcid":"0000-0001-6093-1219","first_name":"Nils Frederik","last_name":"Tolksdorf","full_name":"Tolksdorf, Nils Frederik"},{"id":"50352","last_name":"Rohlfing","first_name":"Katharina J.","full_name":"Rohlfing, Katharina J."}],"status":"public","title":"Parents’ Views on Using Social Robots for Language Learning","year":"2020","department":[{"_id":"749"}],"type":"conference","date_created":"2021-09-23T11:04:23Z","quality_controlled":"1","citation":{"mla":"Tolksdorf, Nils Frederik, and Katharina J. Rohlfing. “Parents’ Views on Using Social Robots for Language Learning.” <i>2020 29th IEEE International Conference on Robot and Human Interactive Communication (RO-MAN)</i>, 2020, doi:<a href=\"https://doi.org/10.1109/ro-man47096.2020.9223540\">10.1109/ro-man47096.2020.9223540</a>.","bibtex":"@inproceedings{Tolksdorf_Rohlfing_2020, title={Parents’ Views on Using Social Robots for Language Learning}, DOI={<a href=\"https://doi.org/10.1109/ro-man47096.2020.9223540\">10.1109/ro-man47096.2020.9223540</a>}, booktitle={2020 29th IEEE International Conference on Robot and Human Interactive Communication (RO-MAN)}, author={Tolksdorf, Nils Frederik and Rohlfing, Katharina J.}, year={2020} }","ama":"Tolksdorf NF, Rohlfing KJ. Parents’ Views on Using Social Robots for Language Learning. In: <i>2020 29th IEEE International Conference on Robot and Human Interactive Communication (RO-MAN)</i>. ; 2020. doi:<a href=\"https://doi.org/10.1109/ro-man47096.2020.9223540\">10.1109/ro-man47096.2020.9223540</a>","ieee":"N. F. Tolksdorf and K. J. Rohlfing, “Parents’ Views on Using Social Robots for Language Learning,” 2020, doi: <a href=\"https://doi.org/10.1109/ro-man47096.2020.9223540\">10.1109/ro-man47096.2020.9223540</a>.","apa":"Tolksdorf, N. F., &#38; Rohlfing, K. J. (2020). Parents’ Views on Using Social Robots for Language Learning. <i>2020 29th IEEE International Conference on Robot and Human Interactive Communication (RO-MAN)</i>. <a href=\"https://doi.org/10.1109/ro-man47096.2020.9223540\">https://doi.org/10.1109/ro-man47096.2020.9223540</a>","short":"N.F. Tolksdorf, K.J. Rohlfing, in: 2020 29th IEEE International Conference on Robot and Human Interactive Communication (RO-MAN), 2020.","chicago":"Tolksdorf, Nils Frederik, and Katharina J. Rohlfing. “Parents’ Views on Using Social Robots for Language Learning.” In <i>2020 29th IEEE International Conference on Robot and Human Interactive Communication (RO-MAN)</i>, 2020. <a href=\"https://doi.org/10.1109/ro-man47096.2020.9223540\">https://doi.org/10.1109/ro-man47096.2020.9223540</a>."},"publication":"2020 29th IEEE International Conference on Robot and Human Interactive Communication (RO-MAN)"},{"quality_controlled":"1","citation":{"apa":"Tolksdorf, N. F., Viertel, F., &#38; Rohlfing, K. J. (2020). Do Shy Children Behave Differently than Non-shy Children in a Long-term Child-robot Interaction? <i>Companion of the 2020 ACM/IEEE International Conference on Human-Robot Interaction</i>. <a href=\"https://doi.org/10.1145/3371382.3378367\">https://doi.org/10.1145/3371382.3378367</a>","ieee":"N. F. Tolksdorf, F. Viertel, and K. J. Rohlfing, “Do Shy Children Behave Differently than Non-shy Children in a Long-term Child-robot Interaction?,” 2020, doi: <a href=\"https://doi.org/10.1145/3371382.3378367\">10.1145/3371382.3378367</a>.","chicago":"Tolksdorf, Nils Frederik, Fanziska Viertel, and Katharina J. Rohlfing. “Do Shy Children Behave Differently than Non-Shy Children in a Long-Term Child-Robot Interaction?” In <i>Companion of the 2020 ACM/IEEE International Conference on Human-Robot Interaction</i>, 2020. <a href=\"https://doi.org/10.1145/3371382.3378367\">https://doi.org/10.1145/3371382.3378367</a>.","short":"N.F. Tolksdorf, F. Viertel, K.J. Rohlfing, in: Companion of the 2020 ACM/IEEE International Conference on Human-Robot Interaction, 2020.","mla":"Tolksdorf, Nils Frederik, et al. “Do Shy Children Behave Differently than Non-Shy Children in a Long-Term Child-Robot Interaction?” <i>Companion of the 2020 ACM/IEEE International Conference on Human-Robot Interaction</i>, 2020, doi:<a href=\"https://doi.org/10.1145/3371382.3378367\">10.1145/3371382.3378367</a>.","ama":"Tolksdorf NF, Viertel F, Rohlfing KJ. Do Shy Children Behave Differently than Non-shy Children in a Long-term Child-robot Interaction? In: <i>Companion of the 2020 ACM/IEEE International Conference on Human-Robot Interaction</i>. ; 2020. doi:<a href=\"https://doi.org/10.1145/3371382.3378367\">10.1145/3371382.3378367</a>","bibtex":"@inproceedings{Tolksdorf_Viertel_Rohlfing_2020, title={Do Shy Children Behave Differently than Non-shy Children in a Long-term Child-robot Interaction?}, DOI={<a href=\"https://doi.org/10.1145/3371382.3378367\">10.1145/3371382.3378367</a>}, booktitle={Companion of the 2020 ACM/IEEE International Conference on Human-Robot Interaction}, author={Tolksdorf, Nils Frederik and Viertel, Fanziska and Rohlfing, Katharina J.}, year={2020} }"},"publication":"Companion of the 2020 ACM/IEEE International Conference on Human-Robot Interaction","department":[{"_id":"749"}],"type":"conference","date_created":"2021-09-23T11:04:12Z","publication_status":"published","date_updated":"2024-11-28T08:42:32Z","author":[{"id":"43289","first_name":"Nils Frederik","orcid":"0000-0001-6093-1219","last_name":"Tolksdorf","full_name":"Tolksdorf, Nils Frederik"},{"first_name":"Fanziska","last_name":"Viertel","full_name":"Viertel, Fanziska"},{"id":"50352","last_name":"Rohlfing","first_name":"Katharina J.","full_name":"Rohlfing, Katharina J."}],"year":"2020","status":"public","title":"Do Shy Children Behave Differently than Non-shy Children in a Long-term Child-robot Interaction?","user_id":"43289","doi":"10.1145/3371382.3378367","_id":"24903","language":[{"iso":"eng"}]},{"user_id":"43289","doi":"10.1007/s12369-020-00622-3","_id":"20241","language":[{"iso":"eng"}],"date_updated":"2024-11-28T08:45:53Z","author":[{"id":"43289","full_name":"Tolksdorf, Nils Frederik","orcid":"0000-0001-6093-1219","first_name":"Nils Frederik","last_name":"Tolksdorf"},{"full_name":"Siebert, Scarlet","first_name":"Scarlet","last_name":"Siebert"},{"full_name":"Zorn, Isabel","last_name":"Zorn","first_name":"Isabel"},{"first_name":"Ilona","last_name":"Horwarth","full_name":"Horwarth, Ilona"},{"full_name":"Rohlfing, Katharina","first_name":"Katharina","last_name":"Rohlfing","id":"50352"}],"status":"public","title":"Ethical considerations of applying robots in kindergarten settings: Towards an approach from a macroperspective.","year":"2020","department":[{"_id":"749"}],"type":"journal_article","date_created":"2020-11-02T10:07:28Z","quality_controlled":"1","citation":{"mla":"Tolksdorf, Nils Frederik, et al. “Ethical Considerations of Applying Robots in Kindergarten Settings: Towards an Approach from a Macroperspective.” <i>International Journal of Social Robotics</i>, 2020, doi:<a href=\"https://doi.org/10.1007/s12369-020-00622-3\">10.1007/s12369-020-00622-3</a>.","bibtex":"@article{Tolksdorf_Siebert_Zorn_Horwarth_Rohlfing_2020, title={Ethical considerations of applying robots in kindergarten settings: Towards an approach from a macroperspective.}, DOI={<a href=\"https://doi.org/10.1007/s12369-020-00622-3\">10.1007/s12369-020-00622-3</a>}, journal={International Journal of Social Robotics}, author={Tolksdorf, Nils Frederik and Siebert, Scarlet and Zorn, Isabel and Horwarth, Ilona and Rohlfing, Katharina}, year={2020} }","ama":"Tolksdorf NF, Siebert S, Zorn I, Horwarth I, Rohlfing K. Ethical considerations of applying robots in kindergarten settings: Towards an approach from a macroperspective. <i>International Journal of Social Robotics</i>. Published online 2020. doi:<a href=\"https://doi.org/10.1007/s12369-020-00622-3\">10.1007/s12369-020-00622-3</a>","ieee":"N. F. Tolksdorf, S. Siebert, I. Zorn, I. Horwarth, and K. Rohlfing, “Ethical considerations of applying robots in kindergarten settings: Towards an approach from a macroperspective.,” <i>International Journal of Social Robotics</i>, 2020, doi: <a href=\"https://doi.org/10.1007/s12369-020-00622-3\">10.1007/s12369-020-00622-3</a>.","apa":"Tolksdorf, N. F., Siebert, S., Zorn, I., Horwarth, I., &#38; Rohlfing, K. (2020). Ethical considerations of applying robots in kindergarten settings: Towards an approach from a macroperspective. <i>International Journal of Social Robotics</i>. <a href=\"https://doi.org/10.1007/s12369-020-00622-3\">https://doi.org/10.1007/s12369-020-00622-3</a>","short":"N.F. Tolksdorf, S. Siebert, I. Zorn, I. Horwarth, K. Rohlfing, International Journal of Social Robotics (2020).","chicago":"Tolksdorf, Nils Frederik, Scarlet Siebert, Isabel Zorn, Ilona Horwarth, and Katharina Rohlfing. “Ethical Considerations of Applying Robots in Kindergarten Settings: Towards an Approach from a Macroperspective.” <i>International Journal of Social Robotics</i>, 2020. <a href=\"https://doi.org/10.1007/s12369-020-00622-3\">https://doi.org/10.1007/s12369-020-00622-3</a>."},"publication":"International Journal of Social Robotics"},{"quality_controlled":"1","citation":{"apa":"Unruh, R., Schafmeister, F., &#38; Böcker, J. (2020). 11kW, 70kHz LLC Converter Design with Adaptive Input Voltage for 98% Efficiency in an MMC. <i>2020 IEEE 21st Workshop on Control and Modeling for Power Electronics (COMPEL)</i>. <a href=\"https://doi.org/10.1109/compel49091.2020.9265771\">https://doi.org/10.1109/compel49091.2020.9265771</a>","ieee":"R. Unruh, F. Schafmeister, and J. Böcker, “11kW, 70kHz LLC Converter Design with Adaptive Input Voltage for 98% Efficiency in an MMC,” 2020, doi: <a href=\"https://doi.org/10.1109/compel49091.2020.9265771\">10.1109/compel49091.2020.9265771</a>.","chicago":"Unruh, Roland, Frank Schafmeister, and Joachim Böcker. “11kW, 70kHz LLC Converter Design with Adaptive Input Voltage for 98% Efficiency in an MMC.” In <i>2020 IEEE 21st Workshop on Control and Modeling for Power Electronics (COMPEL)</i>. IEEE, 2020. <a href=\"https://doi.org/10.1109/compel49091.2020.9265771\">https://doi.org/10.1109/compel49091.2020.9265771</a>.","short":"R. Unruh, F. Schafmeister, J. Böcker, in: 2020 IEEE 21st Workshop on Control and Modeling for Power Electronics (COMPEL), IEEE, 2020.","mla":"Unruh, Roland, et al. “11kW, 70kHz LLC Converter Design with Adaptive Input Voltage for 98% Efficiency in an MMC.” <i>2020 IEEE 21st Workshop on Control and Modeling for Power Electronics (COMPEL)</i>, IEEE, 2020, doi:<a href=\"https://doi.org/10.1109/compel49091.2020.9265771\">10.1109/compel49091.2020.9265771</a>.","ama":"Unruh R, Schafmeister F, Böcker J. 11kW, 70kHz LLC Converter Design with Adaptive Input Voltage for 98% Efficiency in an MMC. In: <i>2020 IEEE 21st Workshop on Control and Modeling for Power Electronics (COMPEL)</i>. IEEE; 2020. doi:<a href=\"https://doi.org/10.1109/compel49091.2020.9265771\">10.1109/compel49091.2020.9265771</a>","bibtex":"@inproceedings{Unruh_Schafmeister_Böcker_2020, title={11kW, 70kHz LLC Converter Design with Adaptive Input Voltage for 98% Efficiency in an MMC}, DOI={<a href=\"https://doi.org/10.1109/compel49091.2020.9265771\">10.1109/compel49091.2020.9265771</a>}, booktitle={2020 IEEE 21st Workshop on Control and Modeling for Power Electronics (COMPEL)}, publisher={IEEE}, author={Unruh, Roland and Schafmeister, Frank and Böcker, Joachim}, year={2020} }"},"conference":{"start_date":"2020-11-09","end_date":"2020-11-12"},"status":"public","user_id":"34289","_id":"29880","publisher":"IEEE","abstract":[{"lang":"eng","text":"Although there are numerous design methodologies for the LLC resonant converter, they often do not consider the possibility of input voltage adjustment. In the proposed concept, a modular multi-level converter (MMC) is used to step-down the three-phase medium voltage of 10 kV, and provide up to 1 MW of pure DC power to the load consisting of electrolyzers for hydrogen generation. Therefore, each module is extended by an LLC resonant converter to adapt to the specific electrolyzers DC voltage range of 142...220 V and to provide galvanic isolation. In order to achieve a high efficiency for a wide range of load conditions, the input voltage of the LLC converter is adjusted between 600 V and 770 V while operating at resonance or close to resonance. The parameters of the 11kW LLC resonant converter with an integrated leakage inductance are systematically optimized to maximize the efficiency for all loads while achieving zero-voltage switching. For a fast estimation of eddy current losses, a new method is proposed, which uses a single FEM simulation to fit newly developed loss equations. The calculated average efficiency is 97.8%. The prototype of the LLC converter reaches a peak efficiency of over 98% at resonance at half load which is similar to the precalculated value."}],"publication":"2020 IEEE 21st Workshop on Control and Modeling for Power Electronics (COMPEL)","department":[{"_id":"52"}],"keyword":["Full-bridge","High voltage power converters","LLC resonant converter","Multilevel converters","ZVS Converters"],"type":"conference","date_created":"2022-02-18T16:29:08Z","date_updated":"2024-11-28T14:19:07Z","publication_status":"published","publication_identifier":{"unknown":["978-1-7281-7160-9"]},"author":[{"full_name":"Unruh, Roland","first_name":"Roland","last_name":"Unruh","id":"34289"},{"id":"71291","last_name":"Schafmeister","first_name":"Frank","full_name":"Schafmeister, Frank"},{"id":"66","orcid":"0000-0002-8480-7295","last_name":"Böcker","first_name":"Joachim","full_name":"Böcker, Joachim"}],"title":"11kW, 70kHz LLC Converter Design with Adaptive Input Voltage for 98% Efficiency in an MMC","year":"2020","doi":"10.1109/compel49091.2020.9265771","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://ieeexplore.ieee.org/abstract/document/9265771"}]},{"date_updated":"2024-11-28T13:02:35Z","author":[{"id":"21575","last_name":"Karaca","first_name":"Resul","full_name":"Karaca, Resul"}],"publication_identifier":{"isbn":["978-3-95477-116-5"]},"title":"La France, une nouvelle patrie pour des musulmans?","status":"public","year":"2020","editor":[{"full_name":"H. Hertrampf, Marina Ortrud","last_name":"H. Hertrampf","first_name":"Marina Ortrud"}],"user_id":"21575","language":[{"iso":"eng"}],"_id":"57486","publisher":"AVM edition","page":"169-186","citation":{"apa":"Karaca, R. (2020). La France, une nouvelle patrie pour des musulmans? In M. O. H. Hertrampf (Ed.), <i>Heimat – patrie/patria: (Re)Konstruktion und Erneuerung im Kontext von Globalisierung und Migration</i> (pp. 169–186). AVM edition.","ieee":"R. Karaca, “La France, une nouvelle patrie pour des musulmans?,” in <i>Heimat – patrie/patria: (Re)Konstruktion und Erneuerung im Kontext von Globalisierung und Migration</i>, M. O. H. Hertrampf, Ed. München: AVM edition, 2020, pp. 169–186.","chicago":"Karaca, Resul. “La France, Une Nouvelle Patrie Pour Des Musulmans?” In <i>Heimat – Patrie/Patria: (Re)Konstruktion Und Erneuerung Im Kontext von Globalisierung Und Migration</i>, edited by Marina Ortrud H. Hertrampf, 169–86. München: AVM edition, 2020.","short":"R. Karaca, in: M.O. H. Hertrampf (Ed.), Heimat – Patrie/Patria: (Re)Konstruktion Und Erneuerung Im Kontext von Globalisierung Und Migration, AVM edition, München, 2020, pp. 169–186.","mla":"Karaca, Resul. “La France, Une Nouvelle Patrie Pour Des Musulmans?” <i>Heimat – Patrie/Patria: (Re)Konstruktion Und Erneuerung Im Kontext von Globalisierung Und Migration</i>, edited by Marina Ortrud H. Hertrampf, AVM edition, 2020, pp. 169–86.","ama":"Karaca R. La France, une nouvelle patrie pour des musulmans? In: H. Hertrampf MO, ed. <i>Heimat – Patrie/Patria: (Re)Konstruktion Und Erneuerung Im Kontext von Globalisierung Und Migration</i>. AVM edition; 2020:169-186.","bibtex":"@inbook{Karaca_2020, place={München}, title={La France, une nouvelle patrie pour des musulmans?}, booktitle={Heimat – patrie/patria: (Re)Konstruktion und Erneuerung im Kontext von Globalisierung und Migration}, publisher={AVM edition}, author={Karaca, Resul}, editor={H. Hertrampf, Marina Ortrud}, year={2020}, pages={169–186} }"},"publication":"Heimat – patrie/patria: (Re)Konstruktion und Erneuerung im Kontext von Globalisierung und Migration","type":"book_chapter","date_created":"2024-11-28T13:02:31Z","place":"München"}]
