Dimension estimate of the exponential attractor for the chemotaxis‐growth system

DOI10.1002/mma.801zbMath1113.92008OpenAlexW2070396862MaRDI QIDQ5293182

Rupert Lasser, Michael Kläre, Messoud A. Efendiev

Publication date: 26 June 2007

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.801

zbMATH Keywords

diffusionfractal dimensionglobal and exponential attractorsLipschitz continuity of semigroups

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45) Cell movement (chemotaxis, etc.) (92C17)

Related Items (1)

Adaptive multiresolution schemes with local time stepping for two-dimensional degenerate reaction-diffusion systems

Cites Work

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• Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems
• Analysis of chemotactic bacterial distributions in population migration assays using a mathematical model applicable to steep or shallow attractant gradients
• Analysis of propagating pattern in a chemotaxis system
• Transient behavior of a chemotaxis system modelling certain types of tissue inflammation

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