Existence and uniqueness of solutions of degenerate chemotaxis system

DOI10.11650/tjm.18.2014.3080zbMath1357.35267OpenAlexW1977999792MaRDI QIDQ514782

L. Shangerganesh, N. Barani Balan, Krishnan Balachandran

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.18.2014.3080

zbMATH Keywords

weak solutionchemotaxis parabolic model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

• Finite volume methods for degenerate chemotaxis model
• Global attractor for a chemotaxis model with prevention of overcrowding
• Model for chemotaxis
• A user's guide to PDE models for chemotaxis
• On the global existence of solutions to an aggregation model
• Global solution for a chemotactic–haptotactic model of cancer invasion
• Dynamics of social populations
• Weak-renormalized solutions for predator–prey system
• The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion
• ON A TWO-SIDEDLY DEGENERATE CHEMOTAXIS MODEL WITH VOLUME-FILLING EFFECT
• Long-time behaviour of solutions to a chemotaxis model with volume-filling effect
• Global existence for a parabolic chemotaxis model with prevention of overcrowding

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