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Existence Theory and Qualitative Analysis for a Fully Cross-Diffusive Predator-Prey System. <i>SIAM Journal on Mathematical Analysis</i>, <i>54</i>(4), 4806–4864. <a href=\"https://doi.org/10.1137/21m1449841\">https://doi.org/10.1137/21m1449841</a>"}},{"user_id":"31496","doi":"10.1137/20m1362851","volume":53,"page":"1411-1433","publisher":"Society for Industrial & Applied Mathematics (SIAM)","_id":"63316","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2025-12-18T20:06:20Z","intvolume":"        53","status":"public","title":"Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection","year":"2021","publication_identifier":{"issn":["0036-1410","1095-7154"]},"author":[{"last_name":"Tao","first_name":"Youshan","full_name":"Tao, Youshan"},{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"type":"journal_article","date_created":"2025-12-18T19:32:18Z","publication":"SIAM Journal on Mathematical Analysis","issue":"2","citation":{"short":"Y. 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Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection. <i>SIAM Journal on Mathematical Analysis</i>, <i>53</i>(2), 1411–1433. <a href=\"https://doi.org/10.1137/20m1362851\">https://doi.org/10.1137/20m1362851</a>","bibtex":"@article{Tao_Winkler_2021, title={Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection}, volume={53}, DOI={<a href=\"https://doi.org/10.1137/20m1362851\">10.1137/20m1362851</a>}, number={2}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Tao, Youshan and Winkler, Michael}, year={2021}, pages={1411–1433} }","ama":"Tao Y, Winkler M. Taxis-driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection. <i>SIAM Journal on Mathematical Analysis</i>. 2021;53(2):1411-1433. doi:<a href=\"https://doi.org/10.1137/20m1362851\">10.1137/20m1362851</a>","mla":"Tao, Youshan, and Michael Winkler. “Taxis-Driven Formation of Singular Hotspots in a May--Nowak Type Model for Virus Infection.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 53, no. 2, Society for Industrial &#38; Applied Mathematics (SIAM), 2021, pp. 1411–33, doi:<a href=\"https://doi.org/10.1137/20m1362851\">10.1137/20m1362851</a>."}},{"intvolume":"        52","date_updated":"2025-12-18T20:01:42Z","publication_status":"published","author":[{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["0036-1410","1095-7154"]},"status":"public","year":"2020","title":"Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations","volume":52,"doi":"10.1137/19m1264199","user_id":"31496","publisher":"Society for Industrial & Applied Mathematics (SIAM)","_id":"63335","language":[{"iso":"eng"}],"page":"2041-2080","citation":{"ieee":"M. Winkler, “Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 2, pp. 2041–2080, 2020, doi: <a href=\"https://doi.org/10.1137/19m1264199\">10.1137/19m1264199</a>.","apa":"Winkler, M. (2020). Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations. <i>SIAM Journal on Mathematical Analysis</i>, <i>52</i>(2), 2041–2080. <a href=\"https://doi.org/10.1137/19m1264199\">https://doi.org/10.1137/19m1264199</a>","short":"M. 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Black, “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no. 4, pp. 4087–4116, 2018, doi: <a href=\"https://doi.org/10.1137/17m1159488\">10.1137/17m1159488</a>.","short":"T. Black, SIAM Journal on Mathematical Analysis 50 (2018) 4087–4116.","chicago":"Black, Tobias. “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion.” <i>SIAM Journal on Mathematical Analysis</i> 50, no. 4 (2018): 4087–4116. <a href=\"https://doi.org/10.1137/17m1159488\">https://doi.org/10.1137/17m1159488</a>."}},{"external_id":{"arxiv":["1802.08490"]},"citation":{"bibtex":"@article{Schwenker_2018, title={Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems}, volume={50}, DOI={<a href=\"https://doi.org/10.1137/17m116118x\">10.1137/17m116118x</a>}, number={3}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Schwenker, Sören}, year={2018}, pages={2466–2485} }","ama":"Schwenker S. Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems. <i>SIAM Journal on Mathematical Analysis</i>. 2018;50(3):2466-2485. doi:<a href=\"https://doi.org/10.1137/17m116118x\">10.1137/17m116118x</a>","mla":"Schwenker, Sören. “Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no. 3, Society for Industrial &#38; Applied Mathematics (SIAM), 2018, pp. 2466–85, doi:<a href=\"https://doi.org/10.1137/17m116118x\">10.1137/17m116118x</a>.","chicago":"Schwenker, Sören. “Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems.” <i>SIAM Journal on Mathematical Analysis</i> 50, no. 3 (2018): 2466–85. <a href=\"https://doi.org/10.1137/17m116118x\">https://doi.org/10.1137/17m116118x</a>.","short":"S. Schwenker, SIAM Journal on Mathematical Analysis 50 (2018) 2466–2485.","ieee":"S. Schwenker, “Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no. 3, pp. 2466–2485, 2018, doi: <a href=\"https://doi.org/10.1137/17m116118x\">10.1137/17m116118x</a>.","apa":"Schwenker, S. (2018). Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems. <i>SIAM Journal on Mathematical Analysis</i>, <i>50</i>(3), 2466–2485. <a href=\"https://doi.org/10.1137/17m116118x\">https://doi.org/10.1137/17m116118x</a>"},"volume":50,"user_id":"97359","_id":"33261","publisher":"Society for Industrial & Applied Mathematics (SIAM)","page":"2466-2485","status":"public","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"type":"journal_article","date_created":"2022-09-06T11:24:18Z","extern":"1","abstract":[{"text":"We prove that steady state bifurcations in finite-dimensional dynamical systems that are symmetric with respect to a monoid representation generically occur along an absolutely indecomposable subrepresentation. This is stated as a conjecture in [B. Rink and J. Sanders, SIAM J. Math. Anal., 46 (2014), pp. 1577--1609]. It is a generalization of the well-known fact that generic steady state bifurcations in equivariant dynamical systems occur along an absolutely irreducible subrepresentation if the symmetries form a group---finite or compact Lie. Our generalization also includes noncompact symmetry groups. The result has applications in bifurcation theory of homogeneous coupled cell networks as they can be embedded (under mild additional assumptions) into monoid equivariant systems.","lang":"eng"}],"publication":"SIAM Journal on Mathematical Analysis","issue":"3","doi":"10.1137/17m116118x","language":[{"iso":"eng"}],"intvolume":"        50","publication_status":"published","date_updated":"2022-09-07T08:32:56Z","publication_identifier":{"issn":["0036-1410","1095-7154"]},"author":[{"id":"97359","orcid":"0000-0002-8054-2058","last_name":"Schwenker","first_name":"Sören","full_name":"Schwenker, Sören"}],"title":"Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems","year":"2018"}]