[{"publication":"Nonlinearity","type":"journal_article","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>A no-flux initial-boundary value problem for<jats:disp-formula id=\"nonace22eueqn1\"><jats:tex-math><?CDATA \\begin{align*} \\begin{cases} u_t = \\Delta \\big(u\\phi(v)\\big), \\\\[1mm] v_t = \\Delta v-uv, \\end{cases} \\qquad \\qquad (\\star) \\end{align*}?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"block\" overflow=\"scroll\"><mml:mtable columnalign=\"right left right left right left right left right left right left\" columnspacing=\"0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em\" rowspacing=\"3pt\"><mml:mtr><mml:mtd><mml:mfenced close=\"\" open=\"{\"><mml:mtable columnalign=\"left left\" columnspacing=\"1em\" rowspacing=\".1em\"><mml:mtr><mml:mtd><mml:msub><mml:mi>u</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant=\"normal\">Δ</mml:mi><mml:mrow><mml:mo maxsize=\"1.2em\" minsize=\"1.2em\">(</mml:mo></mml:mrow><mml:mi>u</mml:mi><mml:mi>ϕ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>v</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mo maxsize=\"1.2em\" minsize=\"1.2em\">)</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:msub><mml:mi>v</mml:mi><mml:mi>t</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mi mathvariant=\"normal\">Δ</mml:mi><mml:mi>v</mml:mi><mml:mo>−</mml:mo><mml:mi>u</mml:mi><mml:mi>v</mml:mi><mml:mo>,</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:mfenced><mml:mo stretchy=\"false\">(</mml:mo><mml:mo>⋆</mml:mo><mml:mo stretchy=\"false\">)</mml:mo></mml:mtd></mml:mtr></mml:mtable></mml:math><jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" orientation=\"portrait\" position=\"float\" xlink:href=\"nonace22eueqn1.gif\" xlink:type=\"simple\" /></jats:disp-formula>is considered in smoothly bounded subdomains of<jats:inline-formula><jats:tex-math><?CDATA $\\mathbb{R}^n$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi mathvariant=\"double-struck\">R</mml:mi></mml:mrow><mml:mi>n</mml:mi></mml:msup></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn1.gif\" xlink:type=\"simple\" /></jats:inline-formula>with<jats:inline-formula><jats:tex-math><?CDATA $n\\geqslant 1$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>n</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn2.gif\" xlink:type=\"simple\" /></jats:inline-formula>and suitably regular initial data, where<jats:italic>φ</jats:italic>is assumed to reflect algebraic type cross-degeneracies by sharing essential features with<jats:inline-formula><jats:tex-math><?CDATA $0\\leqslant \\xi\\mapsto \\xi^\\alpha$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mn>0</mml:mn><mml:mo>⩽</mml:mo><mml:mi>ξ</mml:mi><mml:mo stretchy=\"false\">↦</mml:mo><mml:msup><mml:mi>ξ</mml:mi><mml:mi>α</mml:mi></mml:msup></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn3.gif\" xlink:type=\"simple\" /></jats:inline-formula>for some<jats:inline-formula><jats:tex-math><?CDATA $\\alpha\\geqslant 1$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>α</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn4.gif\" xlink:type=\"simple\" /></jats:inline-formula>. Based on the discovery of a gradient structure acting at regularity levels mild enough to be consistent with degeneracy-driven limitations of smoothness information, in this general setting it is shown that with some measurable limit profile<jats:inline-formula><jats:tex-math><?CDATA $u_\\infty$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant=\"normal\">∞</mml:mi></mml:msub></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn5.gif\" xlink:type=\"simple\" /></jats:inline-formula>and some null set<jats:inline-formula><jats:tex-math><?CDATA $N_\\star\\subset (0,\\infty)$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:msub><mml:mi>N</mml:mi><mml:mo>⋆</mml:mo></mml:msub><mml:mo>⊂</mml:mo><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant=\"normal\">∞</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn6.gif\" xlink:type=\"simple\" /></jats:inline-formula>, a corresponding global generalized solution, known to exist according to recent literature, satisfies<jats:disp-formula id=\"nonace22eueqn2\"><jats:tex-math><?CDATA \\begin{align*} \\rho(u(\\cdot,t))\\stackrel{\\star}{\\rightharpoonup} \\rho(u_\\infty) \\quad \\textrm{in } L^\\infty(\\Omega) \\quad\\;\\; \\textrm{ and } \\quad\\;\\; v(\\cdot,t)\\to 0 \\quad \\textrm{in } L^p(\\Omega)\\; \\textrm{for all } p\\geqslant 1 \\end{align*}?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"block\" overflow=\"scroll\"><mml:mtable columnalign=\"right left right left right left right left right left right left\" columnspacing=\"0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em\" rowspacing=\"3pt\"><mml:mtr><mml:mtd><mml:mi>ρ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>u</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mo>⋅</mml:mo><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mover><mml:mrow><mml:mo stretchy=\"false\">⇀</mml:mo></mml:mrow><mml:mrow><mml:mo>⋆</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mi>ρ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mi mathvariant=\"normal\">∞</mml:mi></mml:msub><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mtext>in </mml:mtext></mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi mathvariant=\"normal\">∞</mml:mi></mml:msup><mml:mo stretchy=\"false\">(</mml:mo><mml:mi mathvariant=\"normal\">Ω</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mtext> and </mml:mtext></mml:mrow><mml:mi>v</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mo>⋅</mml:mo><mml:mo>,</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mo stretchy=\"false\">→</mml:mo><mml:mn>0</mml:mn><mml:mrow><mml:mtext>in </mml:mtext></mml:mrow><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup><mml:mo stretchy=\"false\">(</mml:mo><mml:mi mathvariant=\"normal\">Ω</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mrow><mml:mtext>for all </mml:mtext></mml:mrow><mml:mi>p</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math><jats:graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" orientation=\"portrait\" position=\"float\" xlink:href=\"nonace22eueqn2.gif\" xlink:type=\"simple\" /></jats:disp-formula>as<jats:inline-formula><jats:tex-math><?CDATA $(0,\\infty)\\setminus N_\\star \\ni t\\to \\infty$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant=\"normal\">∞</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mo>∖</mml:mo><mml:msub><mml:mi>N</mml:mi><mml:mo>⋆</mml:mo></mml:msub><mml:mo>∋</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy=\"false\">→</mml:mo><mml:mi mathvariant=\"normal\">∞</mml:mi></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn7.gif\" xlink:type=\"simple\" /></jats:inline-formula>, where<jats:inline-formula><jats:tex-math><?CDATA $\\rho(\\xi): = \\frac{\\xi^2}{(\\xi+1)^2}$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>ρ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>ξ</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mo>:=</mml:mo><mml:mfrac><mml:msup><mml:mi>ξ</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>ξ</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mrow><mml:msup><mml:mo stretchy=\"false\">)</mml:mo><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mrow></mml:mfrac></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn8.gif\" xlink:type=\"simple\" /></jats:inline-formula>,<jats:inline-formula><jats:tex-math><?CDATA $\\xi\\geqslant 0$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>ξ</mml:mi><mml:mo>⩾</mml:mo><mml:mn>0</mml:mn></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn9.gif\" xlink:type=\"simple\" /></jats:inline-formula>. In the particular case when either<jats:inline-formula><jats:tex-math><?CDATA $n\\leqslant 2$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>n</mml:mi><mml:mo>⩽</mml:mo><mml:mn>2</mml:mn></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn10.gif\" xlink:type=\"simple\" /></jats:inline-formula>and<jats:inline-formula><jats:tex-math><?CDATA $\\alpha\\geqslant 1$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>α</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn11.gif\" xlink:type=\"simple\" /></jats:inline-formula>is arbitrary, or<jats:inline-formula><jats:tex-math><?CDATA $n\\geqslant 1$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>n</mml:mi><mml:mo>⩾</mml:mo><mml:mn>1</mml:mn></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn12.gif\" xlink:type=\"simple\" /></jats:inline-formula>and<jats:inline-formula><jats:tex-math><?CDATA $\\alpha\\in [1,2]$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mi>α</mml:mi><mml:mo>∈</mml:mo><mml:mo stretchy=\"false\">[</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=\"false\">]</mml:mo></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn13.gif\" xlink:type=\"simple\" /></jats:inline-formula>, additional quantitative information on the deviation of trajectories from the initial data is derived. This is found to imply a lower estimate for the spatial oscillation of the respective first components throughout evolution, and moreover this is seen to entail that each of the uncountably many steady states<jats:inline-formula><jats:tex-math><?CDATA $(u_\\star,0)$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mo stretchy=\"false\">(</mml:mo><mml:msub><mml:mi>u</mml:mi><mml:mo>⋆</mml:mo></mml:msub><mml:mo>,</mml:mo><mml:mn>0</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn14.gif\" xlink:type=\"simple\" /></jats:inline-formula>of (<jats:inline-formula><jats:tex-math><?CDATA $\\star$?></jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" overflow=\"scroll\"><mml:mo>⋆</mml:mo></mml:math><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"nonace22eieqn15.gif\" xlink:type=\"simple\" /></jats:inline-formula>) is stable with respect to a suitably chosen norm topology.</jats:p>"}],"status":"public","_id":"53345","user_id":"31496","keyword":["Applied Mathematics","General Physics and Astronomy","Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["0951-7715","1361-6544"]},"publication_status":"published","issue":"8","year":"2023","intvolume":"        36","page":"4438-4469","citation":{"apa":"Winkler, M. (2023). Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction. <i>Nonlinearity</i>, <i>36</i>(8), 4438–4469. <a href=\"https://doi.org/10.1088/1361-6544/ace22e\">https://doi.org/10.1088/1361-6544/ace22e</a>","mla":"Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” <i>Nonlinearity</i>, vol. 36, no. 8, IOP Publishing, 2023, pp. 4438–69, doi:<a href=\"https://doi.org/10.1088/1361-6544/ace22e\">10.1088/1361-6544/ace22e</a>.","short":"M. Winkler, Nonlinearity 36 (2023) 4438–4469.","bibtex":"@article{Winkler_2023, title={Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction}, volume={36}, DOI={<a href=\"https://doi.org/10.1088/1361-6544/ace22e\">10.1088/1361-6544/ace22e</a>}, number={8}, journal={Nonlinearity}, publisher={IOP Publishing}, author={Winkler, Michael}, year={2023}, pages={4438–4469} }","ama":"Winkler M. Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction. <i>Nonlinearity</i>. 2023;36(8):4438-4469. doi:<a href=\"https://doi.org/10.1088/1361-6544/ace22e\">10.1088/1361-6544/ace22e</a>","chicago":"Winkler, Michael. “Stabilization despite Pervasive Strong Cross-Degeneracies in a Nonlinear Diffusion Model for Migration–Consumption Interaction.” <i>Nonlinearity</i> 36, no. 8 (2023): 4438–69. <a href=\"https://doi.org/10.1088/1361-6544/ace22e\">https://doi.org/10.1088/1361-6544/ace22e</a>.","ieee":"M. Winkler, “Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction,” <i>Nonlinearity</i>, vol. 36, no. 8, pp. 4438–4469, 2023, doi: <a href=\"https://doi.org/10.1088/1361-6544/ace22e\">10.1088/1361-6544/ace22e</a>."},"publisher":"IOP Publishing","date_updated":"2024-04-07T12:56:40Z","volume":36,"author":[{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"date_created":"2024-04-07T12:56:35Z","title":"Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction","doi":"10.1088/1361-6544/ace22e"},{"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> is considered for the Keller–Segel system <jats:disp-formula><jats:alternatives><jats:tex-math>$$\\begin{aligned} \\left\\{ \\begin{array}{l}u_t = \\Delta u - \\nabla \\cdot (u\\nabla v), \\\\ 0 = \\Delta v + u, \\end{array} \\right. \\qquad \\qquad (\\star ) \\end{aligned}$$</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>Δ</mml:mi>\r\n                                        <mml:mi>u</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:mo>(</mml:mo>\r\n                                          <mml:mi>u</mml:mi>\r\n                                          <mml:mi>∇</mml:mi>\r\n                                          <mml:mi>v</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: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>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>with a focus on a detailed description of behavior in the presence of nonnegative radially symmetric 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> with non-integrable behavior at spatial infinity. It is shown that if <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> is continuous and bounded, then (<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 a local-in-time classical solution, whereas if <jats:inline-formula><jats:alternatives><jats:tex-math>$$u_0(x)\\rightarrow +\\infty $$</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:mrow>\r\n                      <mml:mo>(</mml:mo>\r\n                      <mml:mi>x</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: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>$$|x|\\rightarrow \\infty $$</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:mi>x</mml:mi>\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>, then no such solution can be found. Furthermore, a collection of three sufficient criteria for either global existence or global nonexistence indicates that with respect to the occurrence of finite-time blow-up, spatial decay properties of an explicit singular steady state plays a critical role. In particular, this underlines that explosions 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>) need not be enforced by initially high concentrations near finite points, but can be exclusively due to large tails.</jats:p>","lang":"eng"}],"status":"public","type":"journal_article","publication":"Journal of Elliptic and Parabolic Equations","keyword":["Applied Mathematics","Numerical Analysis","Analysis"],"language":[{"iso":"eng"}],"_id":"53341","user_id":"31496","year":"2023","citation":{"ama":"Winkler M. Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. <i>Journal of Elliptic and Parabolic Equations</i>. 2023;9(2):919-959. doi:<a href=\"https://doi.org/10.1007/s41808-023-00230-y\">10.1007/s41808-023-00230-y</a>","chicago":"Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable Behavior at Spatial Infinity.” <i>Journal of Elliptic and Parabolic Equations</i> 9, no. 2 (2023): 919–59. <a href=\"https://doi.org/10.1007/s41808-023-00230-y\">https://doi.org/10.1007/s41808-023-00230-y</a>.","ieee":"M. Winkler, “Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity,” <i>Journal of Elliptic and Parabolic Equations</i>, vol. 9, no. 2, pp. 919–959, 2023, doi: <a href=\"https://doi.org/10.1007/s41808-023-00230-y\">10.1007/s41808-023-00230-y</a>.","bibtex":"@article{Winkler_2023, title={Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity}, volume={9}, DOI={<a href=\"https://doi.org/10.1007/s41808-023-00230-y\">10.1007/s41808-023-00230-y</a>}, number={2}, journal={Journal of Elliptic and Parabolic Equations}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2023}, pages={919–959} }","short":"M. Winkler, Journal of Elliptic and Parabolic Equations 9 (2023) 919–959.","mla":"Winkler, Michael. “Solutions to the Keller–Segel System with Non-Integrable Behavior at Spatial Infinity.” <i>Journal of Elliptic and Parabolic Equations</i>, vol. 9, no. 2, Springer Science and Business Media LLC, 2023, pp. 919–59, doi:<a href=\"https://doi.org/10.1007/s41808-023-00230-y\">10.1007/s41808-023-00230-y</a>.","apa":"Winkler, M. (2023). Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity. <i>Journal of Elliptic and Parabolic Equations</i>, <i>9</i>(2), 919–959. <a href=\"https://doi.org/10.1007/s41808-023-00230-y\">https://doi.org/10.1007/s41808-023-00230-y</a>"},"intvolume":"         9","page":"919-959","publication_status":"published","publication_identifier":{"issn":["2296-9020","2296-9039"]},"issue":"2","title":"Solutions to the Keller–Segel system with non-integrable behavior at spatial infinity","doi":"10.1007/s41808-023-00230-y","date_updated":"2024-04-07T12:52:55Z","publisher":"Springer Science and Business Media LLC","author":[{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_created":"2024-04-07T12:52:52Z","volume":9},{"title":"Keller–Segel–Stokes interaction involving signal‐dependent motilities","doi":"10.1002/mma.9419","date_updated":"2024-04-07T12:51:31Z","publisher":"Wiley","volume":46,"date_created":"2024-04-07T12:51:27Z","author":[{"full_name":"Tian, Yu","last_name":"Tian","first_name":"Yu"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"year":"2023","intvolume":"        46","page":"15667-15683","citation":{"short":"Y. Tian, M. Winkler, Mathematical Methods in the Applied Sciences 46 (2023) 15667–15683.","mla":"Tian, Yu, and Michael Winkler. “Keller–Segel–Stokes Interaction Involving Signal‐dependent Motilities.” <i>Mathematical Methods in the Applied Sciences</i>, vol. 46, no. 14, Wiley, 2023, pp. 15667–83, doi:<a href=\"https://doi.org/10.1002/mma.9419\">10.1002/mma.9419</a>.","bibtex":"@article{Tian_Winkler_2023, title={Keller–Segel–Stokes interaction involving signal‐dependent motilities}, volume={46}, DOI={<a href=\"https://doi.org/10.1002/mma.9419\">10.1002/mma.9419</a>}, number={14}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley}, author={Tian, Yu and Winkler, Michael}, year={2023}, pages={15667–15683} }","apa":"Tian, Y., &#38; Winkler, M. (2023). Keller–Segel–Stokes interaction involving signal‐dependent motilities. <i>Mathematical Methods in the Applied Sciences</i>, <i>46</i>(14), 15667–15683. <a href=\"https://doi.org/10.1002/mma.9419\">https://doi.org/10.1002/mma.9419</a>","ama":"Tian Y, Winkler M. Keller–Segel–Stokes interaction involving signal‐dependent motilities. <i>Mathematical Methods in the Applied Sciences</i>. 2023;46(14):15667-15683. doi:<a href=\"https://doi.org/10.1002/mma.9419\">10.1002/mma.9419</a>","ieee":"Y. Tian and M. Winkler, “Keller–Segel–Stokes interaction involving signal‐dependent motilities,” <i>Mathematical Methods in the Applied Sciences</i>, vol. 46, no. 14, pp. 15667–15683, 2023, doi: <a href=\"https://doi.org/10.1002/mma.9419\">10.1002/mma.9419</a>.","chicago":"Tian, Yu, and Michael Winkler. “Keller–Segel–Stokes Interaction Involving Signal‐dependent Motilities.” <i>Mathematical Methods in the Applied Sciences</i> 46, no. 14 (2023): 15667–83. <a href=\"https://doi.org/10.1002/mma.9419\">https://doi.org/10.1002/mma.9419</a>."},"publication_identifier":{"issn":["0170-4214","1099-1476"]},"publication_status":"published","issue":"14","keyword":["General Engineering","General Mathematics"],"language":[{"iso":"eng"}],"_id":"53339","user_id":"31496","abstract":[{"lang":"eng","text":"<jats:p>The chemotaxis‐Stokes system \r\n<jats:disp-formula>\r\n\r\n</jats:disp-formula>is considered along with homogeneous boundary conditions of no‐flux type for \r\n and \r\n, and of Dirichlet type for \r\n, in a smoothly bounded domain \r\n. Under the assumption that \r\n, that \r\n is bounded on each of the intervals \r\n with arbitrary \r\n, and that with some \r\n and \r\n, we have \r\n<jats:disp-formula>\r\n\r\n</jats:disp-formula>It is shown that for any suitably regular initial data, an associated initial‐boundary value problem admits a global very weak solution.</jats:p>"}],"status":"public","publication":"Mathematical Methods in the Applied Sciences","type":"journal_article"},{"date_updated":"2024-04-07T12:52:06Z","publisher":"Society for Industrial & Applied Mathematics (SIAM)","author":[{"full_name":"Painter, Kevin J.","last_name":"Painter","first_name":"Kevin J."},{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"date_created":"2024-04-07T12:52:03Z","volume":83,"title":"Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities","doi":"10.1137/22m1539393","publication_status":"published","publication_identifier":{"issn":["0036-1399","1095-712X"]},"issue":"5","year":"2023","citation":{"short":"K.J. Painter, M. Winkler, SIAM Journal on Applied Mathematics 83 (2023) 2096–2117.","bibtex":"@article{Painter_Winkler_2023, title={Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities}, volume={83}, DOI={<a href=\"https://doi.org/10.1137/22m1539393\">10.1137/22m1539393</a>}, number={5}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Painter, Kevin J. and Winkler, Michael}, year={2023}, pages={2096–2117} }","mla":"Painter, Kevin J., and Michael Winkler. “Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities.” <i>SIAM Journal on Applied Mathematics</i>, vol. 83, no. 5, Society for Industrial &#38; Applied Mathematics (SIAM), 2023, pp. 2096–117, doi:<a href=\"https://doi.org/10.1137/22m1539393\">10.1137/22m1539393</a>.","apa":"Painter, K. J., &#38; Winkler, M. (2023). Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities. <i>SIAM Journal on Applied Mathematics</i>, <i>83</i>(5), 2096–2117. <a href=\"https://doi.org/10.1137/22m1539393\">https://doi.org/10.1137/22m1539393</a>","ama":"Painter KJ, Winkler M. Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities. <i>SIAM Journal on Applied Mathematics</i>. 2023;83(5):2096-2117. doi:<a href=\"https://doi.org/10.1137/22m1539393\">10.1137/22m1539393</a>","chicago":"Painter, Kevin J., and Michael Winkler. “Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities.” <i>SIAM Journal on Applied Mathematics</i> 83, no. 5 (2023): 2096–2117. <a href=\"https://doi.org/10.1137/22m1539393\">https://doi.org/10.1137/22m1539393</a>.","ieee":"K. J. Painter and M. Winkler, “Phenotype Switching in Chemotaxis Aggregation Models Controls the Spontaneous Emergence of Large Densities,” <i>SIAM Journal on Applied Mathematics</i>, vol. 83, no. 5, pp. 2096–2117, 2023, doi: <a href=\"https://doi.org/10.1137/22m1539393\">10.1137/22m1539393</a>."},"page":"2096-2117","intvolume":"        83","_id":"53340","user_id":"31496","keyword":["Applied Mathematics"],"language":[{"iso":"eng"}],"type":"journal_article","publication":"SIAM Journal on Applied Mathematics","status":"public"},{"title":"Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems","doi":"10.1016/j.jde.2023.07.029","date_updated":"2024-04-07T12:53:38Z","publisher":"Elsevier BV","author":[{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"},{"full_name":"Yokota, Tomomi","last_name":"Yokota","first_name":"Tomomi"}],"date_created":"2024-04-07T12:53:32Z","volume":374,"year":"2023","citation":{"apa":"Winkler, M., &#38; Yokota, T. (2023). Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. <i>Journal of Differential Equations</i>, <i>374</i>, 1–28. <a href=\"https://doi.org/10.1016/j.jde.2023.07.029\">https://doi.org/10.1016/j.jde.2023.07.029</a>","mla":"Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes Systems.” <i>Journal of Differential Equations</i>, vol. 374, Elsevier BV, 2023, pp. 1–28, doi:<a href=\"https://doi.org/10.1016/j.jde.2023.07.029\">10.1016/j.jde.2023.07.029</a>.","bibtex":"@article{Winkler_Yokota_2023, title={Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems}, volume={374}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2023.07.029\">10.1016/j.jde.2023.07.029</a>}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Winkler, Michael and Yokota, Tomomi}, year={2023}, pages={1–28} }","short":"M. Winkler, T. Yokota, Journal of Differential Equations 374 (2023) 1–28.","chicago":"Winkler, Michael, and Tomomi Yokota. “Avoiding Critical Mass Phenomena by Arbitrarily Mild Saturation of Cross-Diffusive Fluxes in Two-Dimensional Keller-Segel-Navier-Stokes Systems.” <i>Journal of Differential Equations</i> 374 (2023): 1–28. <a href=\"https://doi.org/10.1016/j.jde.2023.07.029\">https://doi.org/10.1016/j.jde.2023.07.029</a>.","ieee":"M. Winkler and T. Yokota, “Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems,” <i>Journal of Differential Equations</i>, vol. 374, pp. 1–28, 2023, doi: <a href=\"https://doi.org/10.1016/j.jde.2023.07.029\">10.1016/j.jde.2023.07.029</a>.","ama":"Winkler M, Yokota T. Avoiding critical mass phenomena by arbitrarily mild saturation of cross-diffusive fluxes in two-dimensional Keller-Segel-Navier-Stokes systems. <i>Journal of Differential Equations</i>. 2023;374:1-28. doi:<a href=\"https://doi.org/10.1016/j.jde.2023.07.029\">10.1016/j.jde.2023.07.029</a>"},"intvolume":"       374","page":"1-28","publication_status":"published","publication_identifier":{"issn":["0022-0396"]},"keyword":["Analysis","Applied Mathematics"],"language":[{"iso":"eng"}],"_id":"53342","user_id":"31496","status":"public","type":"journal_article","publication":"Journal of Differential Equations"},{"status":"public","type":"journal_article","publication":"Advances in Differential Equations","keyword":["Applied Mathematics","Analysis"],"language":[{"iso":"eng"}],"_id":"53346","user_id":"31496","year":"2023","citation":{"ama":"Winkler M. Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. <i>Advances in Differential Equations</i>. 2023;28(11/12). doi:<a href=\"https://doi.org/10.57262/ade028-1112-921\">10.57262/ade028-1112-921</a>","chicago":"Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” <i>Advances in Differential Equations</i> 28, no. 11/12 (2023). <a href=\"https://doi.org/10.57262/ade028-1112-921\">https://doi.org/10.57262/ade028-1112-921</a>.","ieee":"M. Winkler, “Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing,” <i>Advances in Differential Equations</i>, vol. 28, no. 11/12, 2023, doi: <a href=\"https://doi.org/10.57262/ade028-1112-921\">10.57262/ade028-1112-921</a>.","mla":"Winkler, Michael. “Absence of Collapse into Persistent Dirac-Type Singularities in a Keller-Segel-Navier-Stokes System Involving Local Sensing.” <i>Advances in Differential Equations</i>, vol. 28, no. 11/12, Khayyam Publishing, Inc, 2023, doi:<a href=\"https://doi.org/10.57262/ade028-1112-921\">10.57262/ade028-1112-921</a>.","bibtex":"@article{Winkler_2023, title={Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing}, volume={28}, DOI={<a href=\"https://doi.org/10.57262/ade028-1112-921\">10.57262/ade028-1112-921</a>}, number={11/12}, journal={Advances in Differential Equations}, publisher={Khayyam Publishing, Inc}, author={Winkler, Michael}, year={2023} }","short":"M. Winkler, Advances in Differential Equations 28 (2023).","apa":"Winkler, M. (2023). Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing. <i>Advances in Differential Equations</i>, <i>28</i>(11/12). <a href=\"https://doi.org/10.57262/ade028-1112-921\">https://doi.org/10.57262/ade028-1112-921</a>"},"intvolume":"        28","publication_status":"published","publication_identifier":{"issn":["1079-9389"]},"issue":"11/12","title":"Absence of collapse into persistent Dirac-type singularities in a Keller-Segel-Navier-Stokes system involving local sensing","doi":"10.57262/ade028-1112-921","date_updated":"2024-04-07T12:57:23Z","publisher":"Khayyam Publishing, Inc","author":[{"first_name":"Michael","full_name":"Winkler, Michael","last_name":"Winkler"}],"date_created":"2024-04-07T12:57:19Z","volume":28},{"_id":"45984","user_id":"15458","language":[{"iso":"eng"}],"type":"journal_article","publication":"Proc. ACM Hum. Comput. 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Ein Handbuch aus DaF- und DaZ Perspektive","type":"book_chapter"},{"title":"$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces","author":[{"first_name":"Lasse L.","full_name":"Wolf, Lasse L.","last_name":"Wolf"},{"last_name":"Zhang","full_name":"Zhang, Hong-Wei","first_name":"Hong-Wei"}],"date_created":"2024-04-10T13:45:59Z","date_updated":"2024-04-10T13:48:17Z","citation":{"chicago":"Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function and Critical Exponent on  Locally Symmetric Spaces.” <i>ArXiv:2311.11770</i>, 2023.","ieee":"L. L. Wolf and H.-W. Zhang, “$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces,” <i>arXiv:2311.11770</i>. 2023.","ama":"Wolf LL, Zhang H-W. $L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces. <i>arXiv:231111770</i>. 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Moreover, we explore the relationship between\r\nthese three objects and the temperedness."}],"publication":"arXiv:2311.11770","type":"preprint"},{"editor":[{"first_name":"H.-Hugo","last_name":"Kremer","full_name":"Kremer, H.-Hugo"},{"last_name":"Ertl","full_name":"Ertl, Hubert","first_name":"Hubert"},{"full_name":"Sloane, Peter F. E.","last_name":"Sloane","first_name":"Peter F. E."}],"abstract":[{"lang":"eng","text":"Das Verhältnis zwischen Wissenschaft und Praxis wurde in unterschiedlichen Forschungsansätzen im-\r\nmer wieder wissenschaftlich betrachtet. Dennoch ist es notwendig, sich im Rahmen der wissenschafts-\r\ntheoretischen Konzeption von Design-Based Research (DBR) weiter damit auseinanderzusetzen, denn\r\nInteraktion zwischen Wissenschaft und Bildungspraxis ist ein zentrales Merkmal von DBR. Dieser Beitrag\r\nbefasst sich mit der Frage, wie sich diese Interaktion je nach zugrunde liegendem DBR-Verständnis me-\r\nthodologisch fassen lässt. Die Interaktion wird als ein wesentlicher Bestandteil des Erkenntnisprozesses\r\nin DBR aufgefasst. Daher wird neben der methodischen Ausgestaltung von Interaktionsprozessen auch\r\nmethodologisch reflektiert, was die Wissenschaft-Praxis-Interaktion für die Erkenntnis an sich bedeutet."}],"status":"public","publication":"Wissenschaft trifft Praxis – Designbasierte Forschung in der beruflichen Bildung","type":"book_chapter","language":[{"iso":"eng"}],"_id":"53405","department":[{"_id":"208"}],"user_id":"71994","year":"2023","place":"Bonn","page":"11-24","citation":{"apa":"Jenert, T. (2023). Design-Based Research als Erforschung und Gestaltung von Interaktionsprozessen zwischen Wissenschaft und Bildungspraxis. In H.-H. Kremer, H. Ertl, &#38; P. F. E. Sloane (Eds.), <i>Wissenschaft trifft Praxis – Designbasierte Forschung in der beruflichen Bildung</i> (pp. 11–24). 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Bonn: Bundesinstitut für Berufsbildung., 2023, pp. 11–24."},"quality_controlled":"1","title":"Design-Based Research als Erforschung und Gestaltung von Interaktionsprozessen zwischen Wissenschaft und Bildungspraxis","main_file_link":[{"url":"https://www.bibb.de/dienst/publikationen/de/download/18616"}],"publisher":"Bundesinstitut für Berufsbildung.","date_updated":"2024-04-11T06:30:05Z","date_created":"2024-04-11T06:29:37Z","author":[{"last_name":"Jenert","orcid":" https://orcid.org/0000-0001-9262-5646","id":"71994","full_name":"Jenert, Tobias","first_name":"Tobias"}]},{"status":"public","publication":"Proceedings of the 23rd Koli Calling International Conference on Computing Education Research","type":"conference","language":[{"iso":"eng"}],"_id":"52380","department":[{"_id":"67"}],"user_id":"58465","year":"2023","citation":{"short":"S. Sparmann, S. Hüsing, C. Schulte, in: Proceedings of the 23rd Koli Calling International Conference on Computing Education Research, ACM, 2023.","mla":"Sparmann, Sören, et al. “JuGaze: A Cell-Based Eye Tracking and Logging Tool for Jupyter Notebooks.” <i>Proceedings of the 23rd Koli Calling International Conference on Computing Education Research</i>, ACM, 2023, doi:<a href=\"https://doi.org/10.1145/3631802.3631824\">10.1145/3631802.3631824</a>.","bibtex":"@inproceedings{Sparmann_Hüsing_Schulte_2023, title={JuGaze: A Cell-based Eye Tracking and Logging Tool for Jupyter Notebooks}, DOI={<a href=\"https://doi.org/10.1145/3631802.3631824\">10.1145/3631802.3631824</a>}, booktitle={Proceedings of the 23rd Koli Calling International Conference on Computing Education Research}, publisher={ACM}, author={Sparmann, Sören and Hüsing, Sven and Schulte, Carsten}, year={2023} }","apa":"Sparmann, S., Hüsing, S., &#38; Schulte, C. (2023). JuGaze: A Cell-based Eye Tracking and Logging Tool for Jupyter Notebooks. <i>Proceedings of the 23rd Koli Calling International Conference on Computing Education Research</i>. <a href=\"https://doi.org/10.1145/3631802.3631824\">https://doi.org/10.1145/3631802.3631824</a>","chicago":"Sparmann, Sören, Sven Hüsing, and Carsten Schulte. “JuGaze: A Cell-Based Eye Tracking and Logging Tool for Jupyter Notebooks.” In <i>Proceedings of the 23rd Koli Calling International Conference on Computing Education Research</i>. ACM, 2023. <a href=\"https://doi.org/10.1145/3631802.3631824\">https://doi.org/10.1145/3631802.3631824</a>.","ieee":"S. Sparmann, S. Hüsing, and C. Schulte, “JuGaze: A Cell-based Eye Tracking and Logging Tool for Jupyter Notebooks,” 2023, doi: <a href=\"https://doi.org/10.1145/3631802.3631824\">10.1145/3631802.3631824</a>.","ama":"Sparmann S, Hüsing S, Schulte C. JuGaze: A Cell-based Eye Tracking and Logging Tool for Jupyter Notebooks. In: <i>Proceedings of the 23rd Koli Calling International Conference on Computing Education Research</i>. ACM; 2023. doi:<a href=\"https://doi.org/10.1145/3631802.3631824\">10.1145/3631802.3631824</a>"},"publication_status":"published","title":"JuGaze: A Cell-based Eye Tracking and Logging Tool for Jupyter Notebooks","doi":"10.1145/3631802.3631824","date_updated":"2024-04-11T12:30:59Z","publisher":"ACM","author":[{"first_name":"Sören","full_name":"Sparmann, Sören","id":"63216","last_name":"Sparmann"},{"first_name":"Sven","last_name":"Hüsing","full_name":"Hüsing, Sven","id":"58465"},{"last_name":"Schulte","full_name":"Schulte, Carsten","id":"60311","first_name":"Carsten"}],"date_created":"2024-03-08T08:02:10Z"},{"language":[{"iso":"eng"}],"keyword":["Mathematical Physics","Nuclear and High Energy Physics","Statistical and Nonlinear Physics"],"department":[{"_id":"548"}],"user_id":"70575","_id":"53410","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experience specular reflections. We show that if the geodesic billiard system is hyperbolic on its trapped set and the latter is compact and non-grazing, the techniques for open hyperbolic systems developed by Dyatlov and Guillarmou (Ann Henri Poincaré 17(11):3089–3146, 2016) can be applied to a smooth model for the discontinuous flow defined by the non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent for the generator of the billiard flow. As an application we prove a meromorphic continuation of weighted zeta functions together with explicit residue formulae. In particular, our results apply to scattering by convex obstacles in the Euclidean plane.</jats:p>"}],"publication":"Annales Henri Poincaré","type":"journal_article","doi":"10.1007/s00023-023-01379-x","title":"Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models","volume":25,"author":[{"full_name":"Delarue, Benjamin","id":"70575","last_name":"Delarue","first_name":"Benjamin"},{"first_name":"Philipp","full_name":"Schütte, Philipp","id":"50168","last_name":"Schütte"},{"first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","id":"49178","full_name":"Weich, Tobias"}],"date_created":"2024-04-11T12:30:14Z","publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-11T12:37:34Z","intvolume":"        25","page":"1607-1656","citation":{"apa":"Delarue, B., Schütte, P., &#38; Weich, T. (2023). Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. <i>Annales Henri Poincaré</i>, <i>25</i>(2), 1607–1656. <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">https://doi.org/10.1007/s00023-023-01379-x</a>","mla":"Delarue, Benjamin, et al. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” <i>Annales Henri Poincaré</i>, vol. 25, no. 2, Springer Science and Business Media LLC, 2023, pp. 1607–56, doi:<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>.","bibtex":"@article{Delarue_Schütte_Weich_2023, title={Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models}, volume={25}, DOI={<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>}, number={2}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Delarue, Benjamin and Schütte, Philipp and Weich, Tobias}, year={2023}, pages={1607–1656} }","short":"B. Delarue, P. Schütte, T. Weich, Annales Henri Poincaré 25 (2023) 1607–1656.","ieee":"B. Delarue, P. Schütte, and T. Weich, “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” <i>Annales Henri Poincaré</i>, vol. 25, no. 2, pp. 1607–1656, 2023, doi: <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>.","chicago":"Delarue, Benjamin, Philipp Schütte, and Tobias Weich. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” <i>Annales Henri Poincaré</i> 25, no. 2 (2023): 1607–56. <a href=\"https://doi.org/10.1007/s00023-023-01379-x\">https://doi.org/10.1007/s00023-023-01379-x</a>.","ama":"Delarue B, Schütte P, Weich T. Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. <i>Annales Henri Poincaré</i>. 2023;25(2):1607-1656. doi:<a href=\"https://doi.org/10.1007/s00023-023-01379-x\">10.1007/s00023-023-01379-x</a>"},"year":"2023","issue":"2","publication_identifier":{"issn":["1424-0637","1424-0661"]},"publication_status":"published"},{"date_created":"2024-04-11T12:30:42Z","author":[{"full_name":"Delarue, Benjamin","id":"70575","last_name":"Delarue","first_name":"Benjamin"},{"first_name":"Louis","full_name":"Ioos, Louis","last_name":"Ioos"},{"last_name":"Ramacher","full_name":"Ramacher, Pablo","first_name":"Pablo"}],"date_updated":"2024-04-11T12:37:09Z","title":"A Riemann-Roch formula for singular reductions by circle actions","citation":{"apa":"Delarue, B., Ioos, L., &#38; Ramacher, P. (2023). A Riemann-Roch formula for singular reductions by circle actions. In <i>arXiv:2302.09894</i>.","mla":"Delarue, Benjamin, et al. “A Riemann-Roch Formula for Singular Reductions by Circle Actions.” <i>ArXiv:2302.09894</i>, 2023.","short":"B. Delarue, L. Ioos, P. Ramacher, ArXiv:2302.09894 (2023).","bibtex":"@article{Delarue_Ioos_Ramacher_2023, title={A Riemann-Roch formula for singular reductions by circle actions}, journal={arXiv:2302.09894}, author={Delarue, Benjamin and Ioos, Louis and Ramacher, Pablo}, year={2023} }","ieee":"B. Delarue, L. Ioos, and P. Ramacher, “A Riemann-Roch formula for singular reductions by circle actions,” <i>arXiv:2302.09894</i>. 2023.","chicago":"Delarue, Benjamin, Louis Ioos, and Pablo Ramacher. “A Riemann-Roch Formula for Singular Reductions by Circle Actions.” <i>ArXiv:2302.09894</i>, 2023.","ama":"Delarue B, Ioos L, Ramacher P. A Riemann-Roch formula for singular reductions by circle actions. <i>arXiv:230209894</i>. Published online 2023."},"year":"2023","department":[{"_id":"548"}],"user_id":"70575","external_id":{"arxiv":["2302.09894"]},"_id":"53411","language":[{"iso":"eng"}],"publication":"arXiv:2302.09894","type":"preprint","status":"public","abstract":[{"lang":"eng","text":"We compute a Riemann-Roch formula for the invariant Riemann-Roch number of a\r\nquantizable Hamiltonian $S^1$-manifold $(M,\\omega,\\mathcal{J})$ in terms of the\r\ngeometry of its symplectic quotient, allowing $0$ to be a singular value of the\r\nmoment map $\\mathcal{J}:M\\to\\mathbb{R}$. The formula involves a new explicit\r\nlocal invariant of the singularities. Our approach relies on a complete\r\nsingular stationary phase expansion of the associated Witten integral."}]},{"abstract":[{"lang":"eng","text":"Im Rahmen dieser Dissertation wurden Katalysatoren, welche auf der thermischen Zersetzung von metallorganischen Gerüstverbindungen basieren, mittels Röntgenabsorptionsspektroskopie (XAS) und Röntgenemissionsspektroskopie (XES) untersucht. Durch diesen synthetischen Ansatz können hochdisperse Ni-basierte Katalysatoren eingebettet in einer Kohlenstoffmatrix gewonnen werden, welche für die Methanisierung von CO2 Einsatz finden. Diese sollen eine hohe Stabilität gegenüber Wasserstoffausfällen aufweisen, welche bedingt durch Wetterfluktuationen in der Gewinnung von grünem Wasserstoff auftreten. Um ein derartiges System gezielt gestalten zu können, ist ein detailliertes Verständnis zugrundeliegender chemischer Mechanismen und damit einhergehend elektronischer Strukturen der Katalysatorsysteme notwendig. Durch die detaillierte Analyse der Katalysator-Vorstufen mittels XAS konnte gezeigt werden, dass auch unter reduktiven Bedingungen in der thermischen Zersetzung Spuren von Ni(II) vorliegen und keine reine Nifcc-Struktur erreicht werden konnte. Eine detaillierte Auswertung der gleichen Präkatalysatoren mittels XES konnte durch eine neuartige Kombination von HERFD-XANES, theoretischer Berechnungen und VtC-XES einen eindeutigen Beweis für das Vorhandensein der gewünschten Kohlenstoffmatrix sowie Spuren von NiO im Präkatalysator liefern, welche sich vorteilhaft auf die spätere Aktivität im finalen Katalysator auswirken. Abschließend konnte mittels einer in-situ Untersuchung der Temperaturbereich, in dem sich die aktive Katalysatorspezies ausbildet, auf 80 bis 200 C eingegrenzt werden. Schließlich konnte ein eindeutiger Zusammenhang zwischen dem Verlust einer stabilisierenden Kohlenstoffschicht und einem Rückgang der Aktivität belegt werden."},{"text":"This work aimed to establish methods based on X-ray absorption (XAS) and emission spectroscopy (XES) to study Ni-based catalysts obtained by the thermal decomposition of metal-organic framework compounds. Through the chosen synthetic approach, highly dispersed Ni-based catalysts embedded in a carbon matrix were obtained, suitable for the methanation of CO2. These catalysts are targeted to be highly stable against hydrogen dropouts that can occur due to weather fluctuations during the production of green hydrogen using water electrolysis. However, a detailed understanding of the underlying chemical mechanisms and the associated electronic structures of the catalyst systems is necessary to design such a system in a targeted manner. Detailed analysis of the catalyst precursor by XAS showed that although a suitable pre-catalyst can be prepared even under mildly reducing conditions, traces of Ni(II) are still present under reducing conditions during thermal decomposition, and a pure Nifcc structure was not achieved. Detailed XES analysis of the same pre-catalysts, using a novel combination of HERFD-XANES, theoretical calculations, and VtC-XES, provided clear evidence for the presence of the desired carbon matrix, as well as traces of NiO in the pre-catalyst, which has a beneficial effect on the subsequent activity in the final catalyst. Finally, by in-situ investigation, the temperature range in which the active catalyst species is formed could be narrowed down to 80 to 200 C. Furthermore, a clear correlation was proven between the loss of a stabilizing carbon layer and decreased activity.","lang":"eng"}],"status":"public","type":"dissertation","ddc":["540"],"language":[{"iso":"eng"}],"_id":"53434","user_id":"76968","department":[{"_id":"306"}],"year":"2023","citation":{"mla":"Strübbe, Sven. <i>Investigations of Ni-Based Methanation Catalysts under Dynamic Conditions via Hard X-Ray Spectroscopy</i>. Universitätsbibliothek Paderborn, 2023, doi:<a href=\"https://doi.org/10.17619/UNIPB/1-1752\">10.17619/UNIPB/1-1752</a>.","bibtex":"@book{Strübbe_2023, title={Investigations of Ni-based methanation catalysts under dynamic conditions via hard X-ray spectroscopy}, DOI={<a href=\"https://doi.org/10.17619/UNIPB/1-1752\">10.17619/UNIPB/1-1752</a>}, publisher={Universitätsbibliothek Paderborn}, author={Strübbe, Sven}, year={2023} }","short":"S. Strübbe, Investigations of Ni-Based Methanation Catalysts under Dynamic Conditions via Hard X-Ray Spectroscopy, Universitätsbibliothek Paderborn, 2023.","apa":"Strübbe, S. (2023). <i>Investigations of Ni-based methanation catalysts under dynamic conditions via hard X-ray spectroscopy</i>. Universitätsbibliothek Paderborn. <a href=\"https://doi.org/10.17619/UNIPB/1-1752\">https://doi.org/10.17619/UNIPB/1-1752</a>","chicago":"Strübbe, Sven. <i>Investigations of Ni-Based Methanation Catalysts under Dynamic Conditions via Hard X-Ray Spectroscopy</i>. Universitätsbibliothek Paderborn, 2023. <a href=\"https://doi.org/10.17619/UNIPB/1-1752\">https://doi.org/10.17619/UNIPB/1-1752</a>.","ieee":"S. Strübbe, <i>Investigations of Ni-based methanation catalysts under dynamic conditions via hard X-ray spectroscopy</i>. Universitätsbibliothek Paderborn, 2023.","ama":"Strübbe S. <i>Investigations of Ni-Based Methanation Catalysts under Dynamic Conditions via Hard X-Ray Spectroscopy</i>. Universitätsbibliothek Paderborn; 2023. doi:<a href=\"https://doi.org/10.17619/UNIPB/1-1752\">10.17619/UNIPB/1-1752</a>"},"page":"198","publication_status":"published","title":"Investigations of Ni-based methanation catalysts under dynamic conditions via hard X-ray spectroscopy","doi":"10.17619/UNIPB/1-1752","date_updated":"2024-04-11T14:05:40Z","publisher":"Universitätsbibliothek Paderborn","date_created":"2024-04-11T14:00:57Z","author":[{"first_name":"Sven","full_name":"Strübbe, Sven","last_name":"Strübbe"}]},{"title":"Das Projekt \"Schule für Alle\" der Universität Bielefeld: ein Mentoring-Projekt mit rassismuskritischen Ansätzen in Deutschland","date_updated":"2024-04-11T17:12:00Z","publisher":"Universität Pécs ","date_created":"2024-01-22T15:58:58Z","author":[{"full_name":"Pieper, Catania","last_name":"Pieper","first_name":"Catania"},{"last_name":"Kottmann","id":"82466","full_name":"Kottmann, Brigitte","first_name":"Brigitte"},{"first_name":"Anne","full_name":"Reh, Anne","last_name":"Reh"}],"year":"2023","place":"Pécs","citation":{"ama":"Pieper C, Kottmann B, Reh A. Das Projekt “Schule für Alle” der Universität Bielefeld: ein Mentoring-Projekt mit rassismuskritischen Ansätzen in Deutschland. In: Òhidy A, ed. <i>Mentoring-Projekt für Roma-Kinder in Europa</i>. Universität Pécs ; 2023:325-356.","chicago":"Pieper, Catania, Brigitte Kottmann, and Anne Reh. “Das Projekt ‘Schule für Alle’ der Universität Bielefeld: ein Mentoring-Projekt mit rassismuskritischen Ansätzen in Deutschland.” In <i>Mentoring-Projekt für Roma-Kinder in Europa</i>, edited by Andrea Òhidy, 325–56. Pécs: Universität Pécs , 2023.","ieee":"C. Pieper, B. Kottmann, and A. Reh, “Das Projekt ‘Schule für Alle’ der Universität Bielefeld: ein Mentoring-Projekt mit rassismuskritischen Ansätzen in Deutschland,” in <i>Mentoring-Projekt für Roma-Kinder in Europa</i>, A. Òhidy, Ed. Pécs: Universität Pécs , 2023, pp. 325–356.","bibtex":"@inbook{Pieper_Kottmann_Reh_2023, place={Pécs}, title={Das Projekt “Schule für Alle” der Universität Bielefeld: ein Mentoring-Projekt mit rassismuskritischen Ansätzen in Deutschland}, booktitle={Mentoring-Projekt für Roma-Kinder in Europa}, publisher={Universität Pécs }, author={Pieper, Catania and Kottmann, Brigitte and Reh, Anne}, editor={Òhidy, Andrea}, year={2023}, pages={325–356} }","mla":"Pieper, Catania, et al. “Das Projekt ‘Schule für Alle’ der Universität Bielefeld: ein Mentoring-Projekt mit rassismuskritischen Ansätzen in Deutschland.” <i>Mentoring-Projekt für Roma-Kinder in Europa</i>, edited by Andrea Òhidy, Universität Pécs , 2023, pp. 325–56.","short":"C. Pieper, B. Kottmann, A. Reh, in: A. Òhidy (Ed.), Mentoring-Projekt für Roma-Kinder in Europa, Universität Pécs , Pécs, 2023, pp. 325–356.","apa":"Pieper, C., Kottmann, B., &#38; Reh, A. (2023). Das Projekt “Schule für Alle” der Universität Bielefeld: ein Mentoring-Projekt mit rassismuskritischen Ansätzen in Deutschland. In A. Òhidy (Ed.), <i>Mentoring-Projekt für Roma-Kinder in Europa</i> (pp. 325–356). Universität Pécs ."},"page":"325-356","language":[{"iso":"ger"}],"_id":"50736","user_id":"71040","editor":[{"last_name":"Òhidy","full_name":"Òhidy, Andrea","first_name":"Andrea"}],"status":"public","type":"book_chapter","publication":"Mentoring-Projekt für Roma-Kinder in Europa"},{"date_updated":"2024-04-11T18:29:52Z","publisher":"IEEE","date_created":"2024-04-11T18:23:53Z","author":[{"first_name":"Alisa","last_name":"Stiballe","full_name":"Stiballe, Alisa"},{"full_name":"Welzel, Simon","last_name":"Welzel","first_name":"Simon"},{"last_name":"Dorfschmidt","full_name":"Dorfschmidt, Johannes","first_name":"Johannes"},{"first_name":"Darvin","full_name":"Schluter, Darvin","last_name":"Schluter"},{"first_name":"Dominik Delgado","full_name":"Steuter, Dominik Delgado","last_name":"Steuter"},{"last_name":"Hense","full_name":"Hense, Jannik Lukas","first_name":"Jannik Lukas"},{"first_name":"Florian","last_name":"Klingler","full_name":"Klingler, Florian"}],"title":"Demo: Chat based Emergency Service via Long Range Wireless Communication (LoRa)","doi":"10.1109/lcn58197.2023.10223398","publication_status":"published","year":"2023","citation":{"ieee":"A. Stiballe <i>et al.</i>, “Demo: Chat based Emergency Service via Long Range Wireless Communication (LoRa),” 2023, doi: <a href=\"https://doi.org/10.1109/lcn58197.2023.10223398\">10.1109/lcn58197.2023.10223398</a>.","chicago":"Stiballe, Alisa, Simon Welzel, Johannes Dorfschmidt, Darvin Schluter, Dominik Delgado Steuter, Jannik Lukas Hense, and Florian Klingler. “Demo: Chat Based Emergency Service via Long Range Wireless Communication (LoRa).” In <i>2023 IEEE 48th Conference on Local Computer Networks (LCN)</i>. IEEE, 2023. <a href=\"https://doi.org/10.1109/lcn58197.2023.10223398\">https://doi.org/10.1109/lcn58197.2023.10223398</a>.","ama":"Stiballe A, Welzel S, Dorfschmidt J, et al. Demo: Chat based Emergency Service via Long Range Wireless Communication (LoRa). In: <i>2023 IEEE 48th Conference on Local Computer Networks (LCN)</i>. IEEE; 2023. doi:<a href=\"https://doi.org/10.1109/lcn58197.2023.10223398\">10.1109/lcn58197.2023.10223398</a>","apa":"Stiballe, A., Welzel, S., Dorfschmidt, J., Schluter, D., Steuter, D. D., Hense, J. L., &#38; Klingler, F. (2023). Demo: Chat based Emergency Service via Long Range Wireless Communication (LoRa). <i>2023 IEEE 48th Conference on Local Computer Networks (LCN)</i>. <a href=\"https://doi.org/10.1109/lcn58197.2023.10223398\">https://doi.org/10.1109/lcn58197.2023.10223398</a>","mla":"Stiballe, Alisa, et al. “Demo: Chat Based Emergency Service via Long Range Wireless Communication (LoRa).” <i>2023 IEEE 48th Conference on Local Computer Networks (LCN)</i>, IEEE, 2023, doi:<a href=\"https://doi.org/10.1109/lcn58197.2023.10223398\">10.1109/lcn58197.2023.10223398</a>.","bibtex":"@inproceedings{Stiballe_Welzel_Dorfschmidt_Schluter_Steuter_Hense_Klingler_2023, title={Demo: Chat based Emergency Service via Long Range Wireless Communication (LoRa)}, DOI={<a href=\"https://doi.org/10.1109/lcn58197.2023.10223398\">10.1109/lcn58197.2023.10223398</a>}, booktitle={2023 IEEE 48th Conference on Local Computer Networks (LCN)}, publisher={IEEE}, author={Stiballe, Alisa and Welzel, Simon and Dorfschmidt, Johannes and Schluter, Darvin and Steuter, Dominik Delgado and Hense, Jannik Lukas and Klingler, Florian}, year={2023} }","short":"A. Stiballe, S. Welzel, J. Dorfschmidt, D. Schluter, D.D. Steuter, J.L. Hense, F. Klingler, in: 2023 IEEE 48th Conference on Local Computer Networks (LCN), IEEE, 2023."},"_id":"53436","user_id":"49153","language":[{"iso":"eng"}],"publication":"2023 IEEE 48th Conference on Local Computer Networks (LCN)","type":"conference","status":"public"},{"publisher":"IEEE","date_updated":"2024-04-11T18:29:42Z","_id":"53438","author":[{"last_name":"Franke","full_name":"Franke, Mario","first_name":"Mario"},{"first_name":"Roland","last_name":"Stroop","full_name":"Stroop, Roland"},{"last_name":"Klingler","full_name":"Klingler, Florian","first_name":"Florian"},{"first_name":"Christoph","last_name":"Sommer","full_name":"Sommer, Christoph"}],"date_created":"2024-04-11T18:28:15Z","user_id":"49153","title":"Low Earth Orbit Satellite Supported Multi-Hop Dissemination of Messages in V2X Networks","doi":"10.1109/vtc2023-spring57618.2023.10200344","language":[{"iso":"eng"}],"publication_status":"published","type":"conference","publication":"2023 IEEE 97th Vehicular Technology Conference (VTC2023-Spring)","year":"2023","citation":{"apa":"Franke, M., Stroop, R., Klingler, F., &#38; Sommer, C. (2023). Low Earth Orbit Satellite Supported Multi-Hop Dissemination of Messages in V2X Networks. <i>2023 IEEE 97th Vehicular Technology Conference (VTC2023-Spring)</i>. <a href=\"https://doi.org/10.1109/vtc2023-spring57618.2023.10200344\">https://doi.org/10.1109/vtc2023-spring57618.2023.10200344</a>","bibtex":"@inproceedings{Franke_Stroop_Klingler_Sommer_2023, title={Low Earth Orbit Satellite Supported Multi-Hop Dissemination of Messages in V2X Networks}, DOI={<a href=\"https://doi.org/10.1109/vtc2023-spring57618.2023.10200344\">10.1109/vtc2023-spring57618.2023.10200344</a>}, booktitle={2023 IEEE 97th Vehicular Technology Conference (VTC2023-Spring)}, publisher={IEEE}, author={Franke, Mario and Stroop, Roland and Klingler, Florian and Sommer, Christoph}, year={2023} }","short":"M. Franke, R. Stroop, F. Klingler, C. Sommer, in: 2023 IEEE 97th Vehicular Technology Conference (VTC2023-Spring), IEEE, 2023.","mla":"Franke, Mario, et al. “Low Earth Orbit Satellite Supported Multi-Hop Dissemination of Messages in V2X Networks.” <i>2023 IEEE 97th Vehicular Technology Conference (VTC2023-Spring)</i>, IEEE, 2023, doi:<a href=\"https://doi.org/10.1109/vtc2023-spring57618.2023.10200344\">10.1109/vtc2023-spring57618.2023.10200344</a>.","ieee":"M. Franke, R. Stroop, F. Klingler, and C. Sommer, “Low Earth Orbit Satellite Supported Multi-Hop Dissemination of Messages in V2X Networks,” 2023, doi: <a href=\"https://doi.org/10.1109/vtc2023-spring57618.2023.10200344\">10.1109/vtc2023-spring57618.2023.10200344</a>.","chicago":"Franke, Mario, Roland Stroop, Florian Klingler, and Christoph Sommer. “Low Earth Orbit Satellite Supported Multi-Hop Dissemination of Messages in V2X Networks.” In <i>2023 IEEE 97th Vehicular Technology Conference (VTC2023-Spring)</i>. IEEE, 2023. <a href=\"https://doi.org/10.1109/vtc2023-spring57618.2023.10200344\">https://doi.org/10.1109/vtc2023-spring57618.2023.10200344</a>.","ama":"Franke M, Stroop R, Klingler F, Sommer C. Low Earth Orbit Satellite Supported Multi-Hop Dissemination of Messages in V2X Networks. In: <i>2023 IEEE 97th Vehicular Technology Conference (VTC2023-Spring)</i>. IEEE; 2023. doi:<a href=\"https://doi.org/10.1109/vtc2023-spring57618.2023.10200344\">10.1109/vtc2023-spring57618.2023.10200344</a>"},"status":"public"}]
