Domain perturbation and invariant manifolds

DOI10.1007/s00028-012-0144-4zbMath1257.35024OpenAlexW2085777082MaRDI QIDQ692801

Nicolas Varchon

Publication date: 6 December 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-012-0144-4

zbMATH Keywords

structural stabilitydegenerate semigroupsstability of invariant manifolds

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Perturbations in context of PDEs (35B20) Inertial manifolds (35B42) Semilinear parabolic equations (35K58)

Related Items (9)

Limiting behavior of center manifolds for stochastic evolutionary equations with delay in varying phase spaces ⋮ Smooth convergence of random center manifolds for SPDEs in varying phase spaces ⋮ Singular limit of mean-square invariant unstable manifolds for SPDEs driven by nonlinear multiplicative white noise in varying phase spaces ⋮ Rate of convergence for reaction-diffusion equations with nonlinear Neumann boundary conditions and \(\mathcal{C}^1\) variation of the domain ⋮ On the convergence of solutions for SPDEs under perturbation of the domain ⋮ Estimates on the distance of inertial manifolds ⋮ \(C^{1,\theta }\)-estimates on the distance of inertial manifolds ⋮ Limiting behavior of unstable manifolds for SPDEs in varying phase spaces ⋮ \(C^{1, \nu }\)-convergence of center manifolds for stochastic PDEs driven by colored noise on thin domain

Cites Work

• Invariant manifolds for flows in Banach spaces
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• Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain
• On optimal shape design
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• Existence and persistence of invariant manifolds for semiflows in Banach space
• Persistence of overflowing manifolds for semiflow
• Stabilité du spectre d'un opérateur elliptique par rapport au domaine
• Approximation of degenerate semigroups
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