Winkler, Michael Arbitrarily fast grow-up rates in quasilinear Keller-Segel systems. (English) Zbl 1522.35111 Commun. Contemp. Math. 25, No. 10, Article ID 2250062, 28 p. (2023). MSC: 35B44 35A21 35B40 35K51 35K59 35K65 92C17 PDFBibTeX XMLCite \textit{M. Winkler}, Commun. Contemp. Math. 25, No. 10, Article ID 2250062, 28 p. (2023; Zbl 1522.35111) Full Text: DOI
Wu, Duan Global bounded solution to a forager-exploiter model with gradient dependent chemotactic coefficients. (English) Zbl 1518.35123 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127398, 15 p. (2023). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{D. Wu}, J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127398, 15 p. (2023; Zbl 1518.35123) Full Text: DOI
Cao, Xinru; Gao, Xiaotong Critical mass in a quasilinear parabolic-elliptic Keller-Segel model. (English) Zbl 1519.35204 J. Differ. Equations 361, 449-471 (2023). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K51 35B33 35B44 35Q92 35K59 PDFBibTeX XMLCite \textit{X. Cao} and \textit{X. Gao}, J. Differ. Equations 361, 449--471 (2023; Zbl 1519.35204) Full Text: DOI
Winkler, Michael Exponential grow-up rates in a quasilinear Keller-Segel system. (English) Zbl 1509.35325 Asymptotic Anal. 131, No. 1, 33-57 (2023). MSC: 35Q92 92C17 35B44 35B40 PDFBibTeX XMLCite \textit{M. Winkler}, Asymptotic Anal. 131, No. 1, 33--57 (2023; Zbl 1509.35325) Full Text: DOI
Tanaka, Yuya; Yokota, Tomomi Finite-time blow-up in a quasilinear degenerate parabolic-elliptic chemotaxis system with logistic source and nonlinear production. (English) Zbl 1498.35115 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 262-286 (2023). MSC: 35B44 35K51 35K59 35K65 92C17 PDFBibTeX XMLCite \textit{Y. Tanaka} and \textit{T. Yokota}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 262--286 (2023; Zbl 1498.35115) Full Text: DOI
Winkler, Michael A family of mass-critical Keller-Segel systems. (English) Zbl 1522.35524 Proc. Lond. Math. Soc. (3) 124, No. 2, 133-181 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B44 35K65 PDFBibTeX XMLCite \textit{M. Winkler}, Proc. Lond. Math. Soc. (3) 124, No. 2, 133--181 (2022; Zbl 1522.35524) Full Text: DOI
Winkler, Michael A critical blow-up exponent for flux limiation in a Keller-Segel system. (English) Zbl 1501.35094 Indiana Univ. Math. J. 71, No. 4, 1437-1465 (2022). MSC: 35B44 35B33 35K51 35K59 35K65 92C17 PDFBibTeX XMLCite \textit{M. Winkler}, Indiana Univ. Math. J. 71, No. 4, 1437--1465 (2022; Zbl 1501.35094) Full Text: DOI arXiv
Tu, Xinyu; Mu, Chunlai; Zheng, Pan On effects of the nonlinear signal production to the boundedness and finite-time blow-up in a flux-limited chemotaxis model. (English) Zbl 1491.35072 Math. Models Methods Appl. Sci. 32, No. 4, 647-711 (2022). MSC: 35B44 35K51 35K59 35K65 92C17 PDFBibTeX XMLCite \textit{X. Tu} et al., Math. Models Methods Appl. Sci. 32, No. 4, 647--711 (2022; Zbl 1491.35072) Full Text: DOI
Fuest, Mario On the optimality of upper estimates near blow-up in quasilinear Keller-Segel systems. (English) Zbl 1496.35116 Appl. Anal. 101, No. 9, 3515-3534 (2022). MSC: 35B45 35B40 35B44 35K51 35K59 35K65 92C17 PDFBibTeX XMLCite \textit{M. Fuest}, Appl. Anal. 101, No. 9, 3515--3534 (2022; Zbl 1496.35116) Full Text: DOI arXiv
Zheng, Pan On a generalized volume-filling chemotaxis system with nonlinear signal production. (English) Zbl 1497.35070 Monatsh. Math. 198, No. 1, 211-231 (2022). Reviewer: Johannes Lankeit (Hannover) MSC: 35B44 35A01 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{P. Zheng}, Monatsh. Math. 198, No. 1, 211--231 (2022; Zbl 1497.35070) Full Text: DOI
Fuest, Mario Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity. (English) Zbl 1481.35253 Nonlinearity 35, No. 1, 608-657 (2022). MSC: 35K51 35K59 35B45 35D30 92C17 PDFBibTeX XMLCite \textit{M. Fuest}, Nonlinearity 35, No. 1, 608--657 (2022; Zbl 1481.35253) Full Text: DOI arXiv
Tanaka, Yuya Blow-up in a quasilinear parabolic-elliptic Keller-Segel system with logistic source. (English) Zbl 1480.35064 Nonlinear Anal., Real World Appl. 63, Article ID 103396, 29 p. (2022). MSC: 35B44 35K51 35K59 92C17 35Q92 PDFBibTeX XMLCite \textit{Y. Tanaka}, Nonlinear Anal., Real World Appl. 63, Article ID 103396, 29 p. (2022; Zbl 1480.35064) Full Text: DOI arXiv
Tanaka, Yuya Boundedness and finite-time blow-up in a quasilinear parabolic-elliptic chemotaxis system with logistic source and nonlinear production. (English) Zbl 1479.35150 J. Math. Anal. Appl. 506, No. 2, Article ID 125654, 29 p. (2022). Reviewer: Neng Zhu (Nanchang) MSC: 35B44 35K65 92C17 35K51 35K59 PDFBibTeX XMLCite \textit{Y. Tanaka}, J. Math. Anal. Appl. 506, No. 2, Article ID 125654, 29 p. (2022; Zbl 1479.35150) Full Text: DOI arXiv
Lankeit, Johannes Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system. (English) Zbl 1510.35072 J. Math. Anal. Appl. 504, No. 2, Article ID 125409, 16 p. (2021). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{J. Lankeit}, J. Math. Anal. Appl. 504, No. 2, Article ID 125409, 16 p. (2021; Zbl 1510.35072) Full Text: DOI arXiv
Black, Tobias; Fuest, Mario; Lankeit, Johannes Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic-elliptic Keller-Segel systems. (English) Zbl 1466.35056 Z. Angew. Math. Phys. 72, No. 3, Paper No. 96, 23 p. (2021). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{T. Black} et al., Z. Angew. Math. Phys. 72, No. 3, Paper No. 96, 23 p. (2021; Zbl 1466.35056) Full Text: DOI arXiv
Fuest, Mario Blow-up profiles in quasilinear fully parabolic Keller-Segel systems. (English) Zbl 1481.35084 Nonlinearity 33, No. 5, 2306-2334 (2020). MSC: 35B44 35K51 35K59 35K65 92C17 35Q92 PDFBibTeX XMLCite \textit{M. Fuest}, Nonlinearity 33, No. 5, 2306--2334 (2020; Zbl 1481.35084) Full Text: DOI arXiv
Winkler, Michael Can fluid interaction influence the critical mass for taxis-driven blow-up in bounded planar domains? (English) Zbl 1464.35046 Acta Appl. Math. 169, 577-591 (2020). MSC: 35B44 35K59 35K51 92C17 PDFBibTeX XMLCite \textit{M. Winkler}, Acta Appl. Math. 169, 577--591 (2020; Zbl 1464.35046) Full Text: DOI
Chiyoda, Yuka; Mizukami, Masaaki; Yokota, Tomomi Finite-time blow-up in a quasilinear degenerate chemotaxis system with flux limitation. (English) Zbl 1439.35085 Acta Appl. Math. 167, 231-259 (2020). MSC: 35B44 35K65 35K59 35K51 92C17 PDFBibTeX XMLCite \textit{Y. Chiyoda} et al., Acta Appl. Math. 167, 231--259 (2020; Zbl 1439.35085) Full Text: DOI arXiv
Lankeit, Johannes; Winkler, Michael Facing low regularity in chemotaxis systems. (English) Zbl 1436.92004 Jahresber. Dtsch. Math.-Ver. 122, No. 1, 35-64 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 92C17 35Q92 35B44 35K55 PDFBibTeX XMLCite \textit{J. Lankeit} and \textit{M. Winkler}, Jahresber. Dtsch. Math.-Ver. 122, No. 1, 35--64 (2020; Zbl 1436.92004) Full Text: DOI
Winkler, Michael Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving a rapidly diffusing repulsive signal. (English) Zbl 1432.92021 Z. Angew. Math. Phys. 71, No. 1, Paper No. 10, 20 p. (2020). MSC: 92C17 35Q35 35Q92 35K55 PDFBibTeX XMLCite \textit{M. Winkler}, Z. Angew. Math. Phys. 71, No. 1, Paper No. 10, 20 p. (2020; Zbl 1432.92021) Full Text: DOI
Mizukami, Masaaki; Ono, Tatsuhiko; Yokota, Tomomi Extensibility criterion ruling out gradient blow-up in a quasilinear degenerate chemotaxis system with flux limitation. (English) Zbl 1475.35060 J. Differ. Equations 267, No. 9, 5115-5164 (2019). Reviewer: Yuanyuan Ke (Beijing) MSC: 35B40 35K59 92C17 35K65 PDFBibTeX XMLCite \textit{M. Mizukami} et al., J. Differ. Equations 267, No. 9, 5115--5164 (2019; Zbl 1475.35060) Full Text: DOI arXiv
Winkler, Michael How strong singularities can be regularized by logistic degradation in the Keller-Segel system? (English) Zbl 1437.35004 Ann. Mat. Pura Appl. (4) 198, No. 5, 1615-1637 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35A20 92C17 35B40 35B65 PDFBibTeX XMLCite \textit{M. Winkler}, Ann. Mat. Pura Appl. (4) 198, No. 5, 1615--1637 (2019; Zbl 1437.35004) Full Text: DOI