Global existence and boundedness of classical solutions in a quasilinear parabolic-elliptic chemotaxis system with logistic source

DOI10.1016/j.crma.2015.08.006zbMath1327.35199OpenAlexW2186137179MaRDI QIDQ889483

Khadijeh Baghaei, Ali Khelghati

Publication date: 6 November 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.08.006

zbMATH Keywords

boundednesschemotaxisglobal existenceclassical solutionslogistic sourceparabolic-elliptic system

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Second-order parabolic systems (35K40) Quasilinear parabolic equations (35K59) Classical solutions to PDEs (35A09)

Related Items

Global boundedness of solutions to a quasilinear parabolic-parabolic Keller-Segel system with variable logistic source, Critical mass capacity for two-dimensional Keller–Segel model with nonlocal reaction terms, Blow-up of nonradial solutions to the hyperbolic-elliptic chemotaxis system with logistic source, Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion, Boundedness in the higher dimensional attraction-repulsion chemotaxis-growth system, Dynamics in Chemotaxis Models of Parabolic-Elliptic Type on Bounded Domain with Time and Space Dependent Logistic Sources

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