Reaction-diffusion systems in nonconvex domains: Invariant manifold and reduced form

DOI10.1007/BF01047770zbMath0702.35129MaRDI QIDQ914980

Yoshihisa Morita

Publication date: 1990

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

zbMATH Keywords

existenceasymptotic behaviorNeumann boundary conditionsinvariant manifoldattractivityasymptotically stablereduced form

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57)

Related Items

Patterns in parabolic problems with nonlinear boundary conditions, Stability of nonconstant steady-state solutions to a Ginzburg–Landau equation in higher space dimensions, Effect of domain-shape on coexistence problems in a competition-diffusion system, Ordinary differential equations (ODE's) on inertial manifolds for reaction-diffusion systems in a singularly perturbed domain with several thin channels, Persistence of the bifurcation structure for a semilinear elliptic problem on thin domains, Asymptotic behaviour of the Steklov spectrum on dumbbell domains, Secondary bifurcations in semilinear ordinary differential equations, Mini-maximizers for reaction-diffusion systems with skew-gradient structure

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