SINGULARLY PERTURBED REACTION-DIFFUSION SYSTEMS IN CASES OF EXCHANGE OF STABILITIES

DOI10.1111/j.1939-7445.2000.tb00035.xzbMath0980.35023OpenAlexW2151443303MaRDI QIDQ2745397

Klaus R. Schneider, Nikolai N. Nefedov, V. F. Butuzov

Publication date: 24 February 2002

Published in: Natural Resource Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1939-7445.2000.tb00035.x

zbMATH Keywords

lower and upper solutionstwo intersecting families of equilibria

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Singular perturbations in context of PDEs (35B25)

Related Items (3)

Canard solutions in equations with backward bifurcations of the quasi-steady state manifold ⋮ Asymptotic analysis for the singularly perturbed initial value problem with degenerate equation having triple root ⋮ Singular perturbation analysis of a stationary diffusion/reaction system whose solution exhibits a corner-type behavior in the interior of the domain.

Cites Work

• Unnamed Item
• A singularly perturbed boundary value problem for a second-order equation in the case of variation of stability
• Initial boundary value problem for a singularly perturbed parabolic equation in case of exchange of stability
• Immediate exchange of stabilities in singularly perturbed systems
• Singularly perturbed boundary value problems for systems of Tichonov's type in case of exchange of stabilities

This page was built for publication: SINGULARLY PERTURBED REACTION-DIFFUSION SYSTEMS IN CASES OF EXCHANGE OF STABILITIES