Convergence to equilibrium in a reaction-diffusion system

DOI10.1016/0362-546X(84)90045-2zbMath0555.35064MaRDI QIDQ3218504

Peter W. Bates, Kenneth J. Brown

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

comparisoninvariancereaction-diffusion systemexcitable mediadiffusion coefficientsNeumann homogeneous boundary conditionsthreshold features

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Physiological, cellular and medical topics (92Cxx)

Related Items (3)

A prior1 bounds for a class of stationary diffusion systems ⋮ Existence of solutions for a class of weakly coupled semilinear elliptic systems ⋮ Steady state solutions for certain reaction diffusion systems

Cites Work

• Maximum principles and their applications
• Geometric theory of semilinear parabolic equations
• Bifurcation and stability of periodic traveling waves for a reaction- diffusion system
• Qualitative theory of the Fitz Hugh-Nagumo equations
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