Well-posedness for chemotaxis dynamics with nonlinear cell diffusion

DOI10.1016/j.jmaa.2013.01.031zbMath1272.35120OpenAlexW1967220598WikidataQ60581987 ScholiaQ60581987MaRDI QIDQ1947303

Gabriela Marinoschi

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.01.031

zbMATH Keywords

well-posedness\(m\)-accretive operatorsglobal weak solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Cell movement (chemotaxis, etc.) (92C17) Second-order parabolic systems (35K40) Blow-up in context of PDEs (35B44)

Related Items (8)

Local and global existence of solutions to a quasilinear degenerate chemotaxis system with unbounded initial data ⋮ Controlling a generalized Fokker-Planck equation via inputs with nonlocal action ⋮ A semigroup approach to a reaction-diffusion system with cross-diffusion ⋮ A control problem for a cross-diffusion system in a nonhomogeneous medium ⋮ Existence of solutions to chemotaxis dynamics with Lipschitz diffusion and superlinear growth ⋮ A parabolic-elliptic chemotaxis system with nonlinear diffusion approached from a Cahn-Hilliard-type system ⋮ On a class of Keller-Segel chemotaxis systems with cross-diffusion ⋮ Existence of solutions to chemotaxis dynamics with logistic source

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