Dimension estimate of the global attractor for a semi-discretized chemotaxis-growth system by conservative upwind finite-element scheme

DOI10.1016/j.jmaa.2009.04.025zbMath1172.92311OpenAlexW2054129846MaRDI QIDQ1029136

Etsushi Nakaguchi, Wolfgang L. Wendland, Messoud A. Efendiev

Publication date: 9 July 2009

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.2009.04.025

zbMATH Keywords

upwind schemefinite-element approximationchemotaxis-growth systemdimension of global attractornonnegativity of solutions

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Cell movement (chemotaxis, etc.) (92C17)

Related Items (2)

On an exponential attractor for a class of PDEs with degenerate diffusion and chemotaxis ⋮ Dimension estimate for the global attractor of an evolution equation

Cites Work

• Fully discrete approximation by Galerkin Runge-Kutta methods for quasilinear parabolic systems
• On a new dimension estimate of the global attractor for chemotaxis-growth systems
• Uniform estimate of dimension of the global attractor for a semi-discretized chemotaxis-growth system
• Infinite-dimensional dynamical systems in mechanics and physics.
• Mathematical biology. Vol. 1: An introduction.
• A holomorphic semigroup approach to the lumped mass finite element method
• LOWER ESTIMATE OF THE ATTRACTOR DIMENSION FOR A CHEMOTAXIS GROWTH SYSTEM
• Conservative upwind finite-element method for a simplified Keller–Segel system modelling chemotaxis
• On a conservation upwind finite element scheme for convective diffusion equations
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