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Published online 2023. doi:<a href=\"https://doi.org/10.2422/2036-2145.202303_006\">10.2422/2036-2145.202303_006</a>","bibtex":"@article{Colasuonno_Winkler_2023, title={Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\\R^n$}, DOI={<a href=\"https://doi.org/10.2422/2036-2145.202303_006\">10.2422/2036-2145.202303_006</a>}, number={286}, journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, publisher={Scuola Normale Superiore - Edizioni della Normale}, author={Colasuonno, Francesca and Winkler, Michael}, year={2023} }","apa":"Colasuonno, F., &#38; Winkler, M. (2023). Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\\R^n$. <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, Article 286. <a href=\"https://doi.org/10.2422/2036-2145.202303_006\">https://doi.org/10.2422/2036-2145.202303_006</a>","ieee":"F. Colasuonno and M. Winkler, “Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\\R^n$,” <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, Art. no. 286, 2023, doi: <a href=\"https://doi.org/10.2422/2036-2145.202303_006\">10.2422/2036-2145.202303_006</a>.","short":"F. Colasuonno, M. Winkler, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2023).","chicago":"Colasuonno, Francesca, and Michael Winkler. “Stability vs.~instability of Singular Steady States in the Parabolic-Elliptic Keller-Segel System on $\\R^n$.” <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, 2023. <a href=\"https://doi.org/10.2422/2036-2145.202303_006\">https://doi.org/10.2422/2036-2145.202303_006</a>."},"type":"journal_article","date_created":"2025-12-18T18:58:40Z","date_updated":"2025-12-18T20:17:21Z","publication_status":"published","year":"2023","title":"Stability vs.~instability of singular steady states in the parabolic-elliptic Keller-Segel system on $\\R^n$","status":"public","author":[{"full_name":"Colasuonno, Francesca","last_name":"Colasuonno","first_name":"Francesca"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler","id":"31496"}],"publication_identifier":{"issn":["2036-2145","0391-173X"]},"doi":"10.2422/2036-2145.202303_006","user_id":"31496","article_number":"286","publisher":"Scuola Normale Superiore - Edizioni della Normale","_id":"63243","language":[{"iso":"eng"}]},{"publication":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","citation":{"mla":"Winkler, Michael. “$L^1$ Solutions to Parabolic Keller-Segel Systems Involving Arbitrary Superlinear Degradation.” <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, Scuola Normale Superiore - Edizioni della Normale, 2021, pp. 141–72, doi:<a href=\"https://doi.org/10.2422/2036-2145.202005_016\">10.2422/2036-2145.202005_016</a>.","apa":"Winkler, M. (2021). $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation. <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, 141–172. <a href=\"https://doi.org/10.2422/2036-2145.202005_016\">https://doi.org/10.2422/2036-2145.202005_016</a>","ieee":"M. Winkler, “$L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation,” <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, pp. 141–172, 2021, doi: <a href=\"https://doi.org/10.2422/2036-2145.202005_016\">10.2422/2036-2145.202005_016</a>.","ama":"Winkler M. $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation. <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>. Published online 2021:141-172. doi:<a href=\"https://doi.org/10.2422/2036-2145.202005_016\">10.2422/2036-2145.202005_016</a>","short":"M. Winkler, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2021) 141–172.","chicago":"Winkler, Michael. “$L^1$ Solutions to Parabolic Keller-Segel Systems Involving Arbitrary Superlinear Degradation.” <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, 2021, 141–72. <a href=\"https://doi.org/10.2422/2036-2145.202005_016\">https://doi.org/10.2422/2036-2145.202005_016</a>.","bibtex":"@article{Winkler_2021, title={$L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation}, DOI={<a href=\"https://doi.org/10.2422/2036-2145.202005_016\">10.2422/2036-2145.202005_016</a>}, journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, publisher={Scuola Normale Superiore - Edizioni della Normale}, author={Winkler, Michael}, year={2021}, pages={141–172} }"},"keyword":["Mathematics (miscellaneous)","Theoretical Computer Science"],"type":"journal_article","date_created":"2024-04-07T12:45:49Z","date_updated":"2025-12-18T20:15:27Z","publication_status":"published","status":"public","title":"$L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation","year":"2021","author":[{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"publication_identifier":{"issn":["2036-2145","0391-173X"]},"doi":"10.2422/2036-2145.202005_016","user_id":"31496","page":"141-172","_id":"53333","language":[{"iso":"eng"}],"publisher":"Scuola Normale Superiore - Edizioni della Normale"},{"author":[{"full_name":"Wang, Yulan","last_name":"Wang","first_name":"Yulan"},{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"},{"first_name":"Zhaoyin","last_name":"Xiang","full_name":"Xiang, Zhaoyin"}],"publication_identifier":{"issn":["2036-2145","0391-173X"]},"title":"Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity","year":"2021","status":"public","publication_status":"published","date_updated":"2025-12-19T11:05:13Z","_id":"63373","publisher":"Scuola Normale Superiore - Edizioni della Normale","language":[{"iso":"eng"}],"article_number":"421-466","user_id":"31496","doi":"10.2422/2036-2145.201603_004","citation":{"mla":"Wang, Yulan, et al. “Global Classical Solutions in a Two-Dimensional Chemotaxis-Navier-Stokes System with Subcritical Sensitivity.” <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, 421–466, Scuola Normale Superiore - Edizioni della Normale, 2021, doi:<a href=\"https://doi.org/10.2422/2036-2145.201603_004\">10.2422/2036-2145.201603_004</a>.","bibtex":"@article{Wang_Winkler_Xiang_2021, title={Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity}, DOI={<a href=\"https://doi.org/10.2422/2036-2145.201603_004\">10.2422/2036-2145.201603_004</a>}, number={421–466}, journal={ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE}, publisher={Scuola Normale Superiore - Edizioni della Normale}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin}, year={2021} }","ama":"Wang Y, Winkler M, Xiang Z. Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity. <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>. Published online 2021. doi:<a href=\"https://doi.org/10.2422/2036-2145.201603_004\">10.2422/2036-2145.201603_004</a>","ieee":"Y. Wang, M. Winkler, and Z. Xiang, “Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity,” <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, Art. no. 421–466, 2021, doi: <a href=\"https://doi.org/10.2422/2036-2145.201603_004\">10.2422/2036-2145.201603_004</a>.","apa":"Wang, Y., Winkler, M., &#38; Xiang, Z. (2021). Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity. <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, Article 421–466. <a href=\"https://doi.org/10.2422/2036-2145.201603_004\">https://doi.org/10.2422/2036-2145.201603_004</a>","short":"Y. Wang, M. Winkler, Z. Xiang, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2021).","chicago":"Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Classical Solutions in a Two-Dimensional Chemotaxis-Navier-Stokes System with Subcritical Sensitivity.” <i>ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE</i>, 2021. <a href=\"https://doi.org/10.2422/2036-2145.201603_004\">https://doi.org/10.2422/2036-2145.201603_004</a>."},"publication":"ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE","date_created":"2025-12-19T11:05:07Z","type":"journal_article"}]