Asymptotic behavior and positive solutions of a chemical reaction diffusion system

DOI10.1016/0022-247X(92)90109-QzbMath0799.35122MaRDI QIDQ1206890

S. Singh

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

global attractorfixed point indexBelousov-Zhabotinskij reaction

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Bifurcations in context of PDEs (35B32)

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Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems ⋮ Singular perturbation for a class of coupled chemical reaction and diffusion systems ⋮ The relationships between equilibria and positive solutions of certain nonlinear elliptic systems ⋮ Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems ⋮ On the dynamics of the diffusive Field-Noyes model for the Belousov-Zhabotinskii reaction ⋮ Global Dynamics of the Oregonator System ⋮ Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter ⋮ Existence and stability of periodic contrast structure in reaction-advection-diffusion equation with discontinuous reactive and convective terms ⋮ Quasisolutions and global attractor of reaction-diffusion systems ⋮ Asymptotic behavior of global solutions for a chemical reaction model ⋮ Numerical Continuation at Double Bifurcation Points of a Reaction–Diffusion Problem

Cites Work

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• On nonlinear reaction-diffusion systems
• Bounded solutions for reaction-diffusion systems with nonlinear boundary conditions
• A one-variable map analysis of bursting in the Belousov-Zhabotinskiĭ reaction
• Traveling Waves in the Belousov–Zhabotinskii Reaction
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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