Stationary and slowly moving localised pulses in a singularly perturbed Brusselator model

DOI10.1017/S0956792511000179zbMath1270.35051MaRDI QIDQ3095771

Vladimir A. Volpert, Alvin Bayliss, Justin C. Tzou, Bernard J. Matkowsky

Publication date: 4 November 2011

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

matched asymptotic expansionspulse dynamicssemi-strong interaction

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Asymptotic expansions of solutions to PDEs (35C20) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)

Related Items

Spots, traps, and patches: asymptotic analysis of localized solutions to some linear and nonlinear diffusive systems ⋮ The stability and slow dynamics of spot patterns in the 2D Brusselator model: the effect of open systems and heterogeneities ⋮ Global dissipative dynamics of the extended Brusselator system ⋮ Moving and jumping spot in a two-dimensional reaction–diffusion model ⋮ Isolating patterns in open reaction-diffusion systems ⋮ The stability of localized spikes for the 1-D Brusselator reaction–diffusion model ⋮ The Stability of Localized Spot Patterns for the Brusselator on the Sphere

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