On a weak attractor of a class of PDEs with degenerate diffusion and chemotaxis

DOI10.2969/jmsj/06641133zbMath1348.35036OpenAlexW2059985467MaRDI QIDQ482859

Anna Zhigun, Takasi Senba, Messoud A. Efendiev

Publication date: 6 January 2015

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1414090238

zbMATH Keywords

porous mediumbiofilmsdissipative estimatemesoscale level modeling of biomass spreading

Mathematics Subject Classification ID

Attractors (35B41) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Second-order parabolic systems (35K40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

On an exponential attractor for a class of PDEs with degenerate diffusion and chemotaxis

Cites Work

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• Blowup Behavior of Radial Solutions to Jaeger-Luckhaus System in High Dimensional Domains
• Abstract Parabolic Evolution Equations and their Applications
• Chemotactic collapse in a parabolic-elliptic system of mathematical biology

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