A concise proof of the geometric construction of inertial manifolds

DOI10.1016/0375-9601(95)00231-QzbMath1020.34509MaRDI QIDQ1965534

James C. Robinson

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear differential equations in abstract spaces (34G20)

Related Items (7)

Some closure results for inertial manifolds ⋮ Modal reduction of PDE models by means of snapshot archetypes ⋮ Discrete structures equivalent to nonlinear Dirichlet and wave equations ⋮ Biorthogonalization, geometric invariant properties and rate-based estimate of Lyapunov spectra ⋮ Inertial manifolds for a Smoluchowski equation on the unit sphere ⋮ EXTERIOR ALGEBRA-BASED ALGORITHMS TO ESTIMATE LIAPUNOV SPECTRA AND STRETCHING STATISTICS IN HIGH-DIMENSIONAL AND DISTRIBUTED SYSTEMS ⋮ Inertial manifolds for dynamics of cells coupled by gap junction

Cites Work

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• Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations
• Inertial manifolds and Sacker's equation
• Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension
• Spectral barriers and inertial manifolds for dissipative partial differential equations
• Inertial manifolds
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Smoothness of inertial manifolds

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