Dimension estimate of the global attractor for a semi-discretized chemotaxis–growth system by conservative upwind finite-element scheme-Reference-Cited by-同舟云学术

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

Published:2009-10 Issue:1 Volume:358 Page:136-147
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Efendiev Messoud,Nakaguchi Etsushi,Wendland Wolfgang L.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference20 articles.

1. Lower estimate of attractor dimension for chemotaxis growth system;Aida;J. Lond. Math. Soc.,2006

2. Global attractor for approximate system of chemotaxis and growth;Aida;Dyn. Contin. Discrete Impuls. Syst. Ser. A,2003

3. On a conservative upwind finite element scheme for convective diffusion equations;Baba;RAIRO Anal. Numér.,1981

4. Attractors of Evolution Equations;Babin,1989

5. Introduction to Matrix Analysis;Bellman,1997

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1. On an exponential attractor for a class of PDEs with degenerate diffusion and chemotaxis;Discrete & Continuous Dynamical Systems - A;2018

2. Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis;Communications on Pure & Applied Analysis;2012

3. Dimension Estimate for the Global Attractor of an Evolution Equation;Abstract and Applied Analysis;2012

4. Abstract Parabolic Evolution Equations and their Applications;Springer Monographs in Mathematics;2010

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