Existence of global solution and nontrivial steady states for a system modeling chemotaxis

DOI10.1155/AAA/2006/81265zbMath1145.35392MaRDI QIDQ2472114

Zhenbu Zhang

Publication date: 20 February 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54492

zbMATH Keywords

stabilityone space dimensionMoser-Alikakos iterationnontrivial steady state solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17)

Related Items

Study of an elliptic system arising from angiogenesis with chemotaxis and flux at the boundary ⋮ Competitive exclusion in a two-species chemotaxis model

Cites Work

• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Initiation of slime mold aggregation viewed as an instability
• Dynamic theory of quasilinear parabolic systems. III: Global existence
• The evolution of slow dispersal rates: a reaction diffusion model
• Geometric theory of semilinear parabolic equations
• Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
• L^PBounds of solutions of reaction-diffusion equations
• Qualitative analysis on a chemotactic diffusion model for two species competing for a limited resource
• Coexistence with Chemotaxis
• Qualitative Behavior of Solutions of Chemotactic Diffusion Systems: Effects of Motility and Chemotaxis and Dynamics
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