Some remarks on the smoothness of inertial manifolds

DOI10.1016/0362-546X(91)90132-KzbMath0723.58033OpenAlexW2086338100MaRDI QIDQ3210579

Jean-Michel Ghidaglia, Francoise Demengel

Publication date: 1991

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90132-k

zbMATH Keywords

regularityexistenceattractorsdynamical systemsinertial manifolds

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (6)

On the behavior of attractors under finite difference approximation ⋮ Smoothness of inertial manifolds ⋮ Analytic study of shell models of turbulence ⋮ Persistence of invariant sets for dissipative evolution equations ⋮ Inertial manifolds and normal hyperbolicity ⋮ Inertial manifolds for partial differential evolution equations under time-discretization: Existence, convergence, and applications

Cites Work

• Invariant manifolds for flows in Banach spaces
• Inertial manifolds for nonlinear evolutionary equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Inertial Manifolds for Reaction Diffusion Equations in Higher Space Dimensions
• Approximation theories for inertial manifolds
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