Kohatsu, Shohei; Lankeit, Johannes Large densities in a competitive two-species chemotaxis system in the non-symmetric case. arXiv:2401.17521 Preprint, arXiv:2401.17521 [math.AP] (2024). MSC: 35K55 35B44 35D30 92C17 BibTeX Cite \textit{S. Kohatsu} and \textit{J. Lankeit}, ``Large densities in a competitive two-species chemotaxis system in the non-symmetric case'', Preprint, arXiv:2401.17521 [math.AP] (2024) Full Text: arXiv OA License
Fuest, Mario; Lankeit, Johannes; Tanaka, Yuya Critical mass phenomena in higher dimensional quasilinear Keller-Segel systems with indirect signal production. (English) Zbl 07784870 Math. Methods Appl. Sci. 46, No. 13, 14362-14378 (2023). MSC: 35B33 35B44 35K59 92C17 PDFBibTeX XMLCite \textit{M. Fuest} et al., Math. Methods Appl. Sci. 46, No. 13, 14362--14378 (2023; Zbl 07784870) Full Text: DOI arXiv OA License
Fuest, Mario; Lankeit, Johannes Corners and collapse: some simple observations concerning critical masses and boundary blow-up in the fully parabolic Keller-Segel system. (English) Zbl 1522.35105 Appl. Math. Lett. 146, Article ID 108788, 9 p. (2023). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{M. Fuest} and \textit{J. Lankeit}, Appl. Math. Lett. 146, Article ID 108788, 9 p. (2023; Zbl 1522.35105) Full Text: DOI arXiv
Fuest, Mario; Heydari, Shahin; Knobloch, Petr; Lankeit, Johannes; Wick, Thomas Global existence of classical solutions and numerical simulations of a cancer invasion model. (English) Zbl 1522.35006 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 1893-1919 (2023). MSC: 35A01 35K51 35K57 35Q92 65M22 65M60 92C17 PDFBibTeX XMLCite \textit{M. Fuest} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 4, 1893--1919 (2023; Zbl 1522.35006) Full Text: DOI arXiv
Black, Tobias; Fuest, Mario; Lankeit, Johannes; Mizukami, Masaaki Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source. (English) Zbl 1517.35062 Nonlinear Anal., Real World Appl. 73, Article ID 103868, 14 p. (2023). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{T. Black} et al., Nonlinear Anal., Real World Appl. 73, Article ID 103868, 14 p. (2023; Zbl 1517.35062) Full Text: DOI arXiv
Ishida, Sachiko; Lankeit, Johannes; Viglialoro, Giuseppe A Keller-Segel type taxis model with ecological interpretation and boundedness due to gradient nonlinearities. arXiv:2306.12137 Preprint, arXiv:2306.12137 [math.AP] (2023). MSC: 35K55 35A01 35K15 35K55 35Q92 92C17 92D40 92D50 BibTeX Cite \textit{S. Ishida} et al., ``A Keller-Segel type taxis model with ecological interpretation and boundedness due to gradient nonlinearities'', Preprint, arXiv:2306.12137 [math.AP] (2023) Full Text: arXiv OA License
Lankeit, Johannes; Winkler, Michael Depleting the signal: Analysis of chemotaxis-consumption models – A survey. arXiv:2304.02449 Preprint, arXiv:2304.02449 [math.AP] (2023). MSC: 92C17 35Q92 35K51 35B44 BibTeX Cite \textit{J. Lankeit} and \textit{M. Winkler}, ``Depleting the signal: Analysis of chemotaxis-consumption models -- A survey'', Preprint, arXiv:2304.02449 [math.AP] (2023) Full Text: arXiv OA License
Fuhrmann, Jan; Lankeit, Johannes; Winkler, Michael A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system. (English. French summary) Zbl 1494.35047 J. Math. Pures Appl. (9) 162, 124-151 (2022). Reviewer: Yuanyuan Ke (Beijing) MSC: 35B44 35K51 35K59 74L15 92C10 92C17 PDFBibTeX XMLCite \textit{J. Fuhrmann} et al., J. Math. Pures Appl. (9) 162, 124--151 (2022; Zbl 1494.35047) Full Text: DOI arXiv
Ding, Mengyao; Lankeit, Johannes Generalized solutions to a chemotaxis-Navier-Stokes system with arbitrary superlinear degradation. (English) Zbl 1483.92033 SIAM J. Math. Anal. 54, No. 1, 1022-1052 (2022). MSC: 92C17 35Q30 35D99 PDFBibTeX XMLCite \textit{M. Ding} and \textit{J. Lankeit}, SIAM J. Math. Anal. 54, No. 1, 1022--1052 (2022; Zbl 1483.92033) Full Text: DOI arXiv
Lankeit, Johannes; Winkler, Michael Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. (English) Zbl 1481.35023 Nonlinearity 35, No. 1, 719-749 (2022). MSC: 35B07 35K51 35K59 35J61 92C17 PDFBibTeX XMLCite \textit{J. Lankeit} and \textit{M. Winkler}, Nonlinearity 35, No. 1, 719--749 (2022; Zbl 1481.35023) 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
Lankeit, Johannes Immediate smoothing and global solutions for initial data in \(L^1\times W^{1,2}\) in a Keller-Segel system with logistic terms in 2D. (English) Zbl 1469.35075 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 4, 1204-1224 (2021). MSC: 35B65 35K51 35K59 35A09 92C17 PDFBibTeX XMLCite \textit{J. Lankeit}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 4, 1204--1224 (2021; Zbl 1469.35075) 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; Lankeit, Johannes; Mizukami, Masaaki Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model. (English) Zbl 1455.35267 J. Differ. Equations 271, 254-279 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 92C17 35K20 35B40 PDFBibTeX XMLCite \textit{M. Fuest} et al., J. Differ. Equations 271, 254--279 (2021; Zbl 1455.35267) Full Text: DOI arXiv
Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki Stabilization in the Keller-Segel system with signal-dependent sensitivity. (English) Zbl 1461.35045 Appl. Anal. 99, No. 16, 2877-2891 (2020). Reviewer: Neng Zhu (Nanchang) MSC: 35B40 35K51 92C17 35Q92 35K59 PDFBibTeX XMLCite \textit{T. Black} et al., Appl. Anal. 99, No. 16, 2877--2891 (2020; Zbl 1461.35045) Full Text: DOI arXiv
Lankeit, Johannes; Viglialoro, Giuseppe Global existence and boundedness of solutions to a chemotaxis-consumption model with singular sensitivity. (English) Zbl 1439.35243 Acta Appl. Math. 167, 75-97 (2020). MSC: 35K55 35Q92 35A01 35K51 92C17 PDFBibTeX XMLCite \textit{J. Lankeit} and \textit{G. Viglialoro}, Acta Appl. Math. 167, 75--97 (2020; Zbl 1439.35243) Full Text: DOI arXiv Link
Lankeit, Johannes Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system. (English) Zbl 1439.92042 Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 233-255 (2020). MSC: 92C17 35Q92 35K55 PDFBibTeX XMLCite \textit{J. Lankeit}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 233--255 (2020; Zbl 1439.92042) 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
Braukhoff, Marcel; Lankeit, Johannes Stationary solutions to a chemotaxis-consumption model with realistic boundary conditions for the oxygen. (English) Zbl 1425.35196 Math. Models Methods Appl. Sci. 29, No. 11, 2033-2062 (2019). MSC: 35Q92 92C17 35J57 35A02 35B40 PDFBibTeX XMLCite \textit{M. Braukhoff} and \textit{J. Lankeit}, Math. Models Methods Appl. Sci. 29, No. 11, 2033--2062 (2019; Zbl 1425.35196) Full Text: DOI arXiv
Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki A Keller-Segel-fluid system with singular sensitivity: generalized solutions. (English) Zbl 1418.35222 Math. Methods Appl. Sci. 42, No. 9, 3002-3020 (2019). MSC: 35K55 35D30 92C17 35Q92 76D07 35A01 PDFBibTeX XMLCite \textit{T. Black} et al., Math. Methods Appl. Sci. 42, No. 9, 3002--3020 (2019; Zbl 1418.35222) Full Text: DOI arXiv
Lankeit, Elisa; Lankeit, Johannes On the global generalized solvability of a chemotaxis model with signal absorption and logistic growth terms. (English) Zbl 1414.35240 Nonlinearity 32, No. 5, 1569-1596 (2019). MSC: 35Q92 35K51 35A01 92C17 PDFBibTeX XMLCite \textit{E. Lankeit} and \textit{J. Lankeit}, Nonlinearity 32, No. 5, 1569--1596 (2019; Zbl 1414.35240) Full Text: DOI arXiv
Lankeit, Elisa; Lankeit, Johannes Classical solutions to a logistic chemotaxis model with singular sensitivity and signal absorption. (English) Zbl 1414.35239 Nonlinear Anal., Real World Appl. 46, 421-445 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B40 PDFBibTeX XMLCite \textit{E. Lankeit} and \textit{J. Lankeit}, Nonlinear Anal., Real World Appl. 46, 421--445 (2019; Zbl 1414.35239) Full Text: DOI arXiv
Hu, Bingran; Lankeit, Johannes Boundedness of solutions to a virus infection model with saturated chemotaxis. (English) Zbl 1396.92006 J. Math. Anal. Appl. 468, No. 1, 344-358 (2018). MSC: 92C17 35K51 35Q92 35A09 PDFBibTeX XMLCite \textit{B. Hu} and \textit{J. Lankeit}, J. Math. Anal. Appl. 468, No. 1, 344--358 (2018; Zbl 1396.92006) Full Text: DOI arXiv
Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki Singular sensitivity in a Keller-Segel-fluid system. (English) Zbl 1402.35006 J. Evol. Equ. 18, No. 2, 561-581 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35A01 35Q30 35Q92 92C17 35K51 PDFBibTeX XMLCite \textit{T. Black} et al., J. Evol. Equ. 18, No. 2, 561--581 (2018; Zbl 1402.35006) Full Text: DOI arXiv
Lankeit, Johannes; Winkler, Michael A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data. (English) Zbl 1373.35166 NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 49, 33 p. (2017). MSC: 35K55 35D99 92C17 PDFBibTeX XMLCite \textit{J. Lankeit} and \textit{M. Winkler}, NoDEA, Nonlinear Differ. Equ. Appl. 24, No. 4, Paper No. 49, 33 p. (2017; Zbl 1373.35166) Full Text: DOI arXiv
Lankeit, Johannes; Wang, Yulan Global existence, boundedness and stabilization in a high-dimensional chemotaxis system with consumption. (English) Zbl 1375.35575 Discrete Contin. Dyn. Syst. 37, No. 12, 6099-6121 (2017). MSC: 35Q92 35K55 35A01 35B40 35D30 92C17 PDFBibTeX XMLCite \textit{J. Lankeit} and \textit{Y. Wang}, Discrete Contin. Dyn. Syst. 37, No. 12, 6099--6121 (2017; Zbl 1375.35575) Full Text: DOI arXiv
Lankeit, Johannes; Mizukami, Masaaki How far does small chemotactic interaction perturb the Fisher-KPP dynamics? (English) Zbl 1398.35128 J. Math. Anal. Appl. 452, No. 1, 429-442 (2017). MSC: 35K59 35Q92 92C17 92D25 35B25 35B35 35K51 PDFBibTeX XMLCite \textit{J. Lankeit} and \textit{M. Mizukami}, J. Math. Anal. Appl. 452, No. 1, 429--442 (2017; Zbl 1398.35128) Full Text: DOI arXiv
Lankeit, Johannes Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion. (English) Zbl 1359.35103 J. Differ. Equations 262, No. 7, 4052-4084 (2017). MSC: 35K59 35Q92 35A01 35K65 92C17 PDFBibTeX XMLCite \textit{J. Lankeit}, J. Differ. Equations 262, No. 7, 4052--4084 (2017; Zbl 1359.35103) Full Text: DOI arXiv
Black, Tobias; Lankeit, Johannes; Mizukami, Masaaki On the weakly competitive case in a two-species chemotaxis model. (English) Zbl 1404.35033 IMA J. Appl. Math. 81, No. 5, 860-876 (2016). MSC: 35B35 92C17 PDFBibTeX XMLCite \textit{T. Black} et al., IMA J. Appl. Math. 81, No. 5, 860--876 (2016; Zbl 1404.35033) Full Text: DOI arXiv
Cao, Xinru; Lankeit, Johannes Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities. (English) Zbl 1366.35075 Calc. Var. Partial Differ. Equ. 55, No. 4, Paper No. 107, 39 p. (2016). MSC: 35K55 35B40 35Q35 92C17 35B35 PDFBibTeX XMLCite \textit{X. Cao} and \textit{J. Lankeit}, Calc. Var. Partial Differ. Equ. 55, No. 4, Paper No. 107, 39 p. (2016; Zbl 1366.35075) Full Text: DOI arXiv
Lankeit, Johannes Long-term behaviour in a chemotaxis-fluid system with logistic source. (English) Zbl 1354.35059 Math. Models Methods Appl. Sci. 26, No. 11, 2071-2109 (2016). MSC: 35K40 35Q92 35D30 76D05 35B40 35K55 35B65 35Q30 92C17 PDFBibTeX XMLCite \textit{J. Lankeit}, Math. Models Methods Appl. Sci. 26, No. 11, 2071--2109 (2016; Zbl 1354.35059) Full Text: DOI arXiv
Li, Yan; Lankeit, Johannes Boundedness in a chemotaxis-haptotaxis model with nonlinear diffusion. (English) Zbl 1338.35438 Nonlinearity 29, No. 5, 1564-1595 (2016). MSC: 35Q92 35K55 35B40 92C17 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Lankeit}, Nonlinearity 29, No. 5, 1564--1595 (2016; Zbl 1338.35438) Full Text: DOI arXiv
Lankeit, Johannes A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity. (English) Zbl 1333.35100 Math. Methods Appl. Sci. 39, No. 3, 394-404 (2016). MSC: 35K55 35A01 92C17 35Q92 35B65 PDFBibTeX XMLCite \textit{J. Lankeit}, Math. Methods Appl. Sci. 39, No. 3, 394--404 (2016; Zbl 1333.35100) Full Text: DOI arXiv
Lankeit, Johannes Chemotaxis can prevent thresholds on population density. (English) Zbl 1337.35160 Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1499-1527 (2015). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K55 35B44 92C17 PDFBibTeX XMLCite \textit{J. Lankeit}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 5, 1499--1527 (2015; Zbl 1337.35160) Full Text: DOI arXiv
Lankeit, Johannes Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source. (English) Zbl 1319.35085 J. Differ. Equations 258, No. 4, 1158-1191 (2015). Reviewer: Jauber C. Oliveira (Florianopolis) MSC: 35K55 35B65 92C17 35Q92 35B40 PDFBibTeX XMLCite \textit{J. Lankeit}, J. Differ. Equations 258, No. 4, 1158--1191 (2015; Zbl 1319.35085) Full Text: DOI arXiv