Ordinary differential equations (ODE's) on inertial manifolds for reaction-diffusion systems in a singularly perturbed domain with several thin channels

DOI10.1007/BF01048156zbMath0760.35026MaRDI QIDQ1183222

Yoshihisa Morita, Shuichi Jimbo

Publication date: 28 June 1992

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

homogeneous Neumann boundary conditionssingularly perturbed domainfinite dimensional invariant manifoldreduced ordinary differential equationsweakly coupled semilinear parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57)

Related Items

Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain, Dynamics in Dumbbell domains. I: Continuity of the set of equilibria, Stability of nonconstant steady-state solutions to a Ginzburg–Landau equation in higher space dimensions, The Neumann problem in an irregular domain, Turing-Hopf bifurcation in the reaction-diffusion equations and its applications, Persistence of the bifurcation structure for a semilinear elliptic problem on thin domains, Homogenization of attractors for semilinear parabolic equations on manifolds with complicated microstructure, Secondary bifurcations in semilinear ordinary differential equations

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