Global in time and bounded solutions to a parabolic-elliptic chemotaxis system with nonlinear diffusion and signal-dependent sensitivity
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Publication:2020317
DOI10.1007/s00245-019-09575-0zbMath1465.35006OpenAlexW2942587892WikidataQ127934513 ScholiaQ127934513MaRDI QIDQ2020317
Publication date: 23 April 2021
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-019-09575-0
Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (6)
Radially symmetric solutions for a Keller-Segel system with flux limitation and nonlinear diffusion ⋮ Influence of nonlinear production on the global solvability of an attraction‐repulsion chemotaxis system ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ Solvability of a Keller–Segel system with signal-dependent sensitivity and essentially sublinear production ⋮ Boundedness for a fully parabolic Keller-Segel model with sublinear segregation and superlinear aggregation ⋮ Boundedness in a nonlinear attraction-repulsion Keller-Segel system with production and consumption
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