Inertial manifolds for retarded second order in time evolution equations

DOI10.1016/S0362-546X(01)00878-1zbMath1023.35087MaRDI QIDQ1849018

Alexander V. Rezounenko

Publication date: 28 November 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

eigenvalueseigenvectorsspectral gap conditiondamped wave equation with retardationexistence of an inertial manifold

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Partial functional-differential equations (35R10) Invariant manifold theory for dynamical systems (37D10) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (4)

Approximate inertial manifolds for retarded semilinear parabolic equations. ⋮ Investigations of retarded PDEs of second order in time using the method of inertial manifolds with delay. ⋮ Model reduction on inertial manifolds for N-S equations approached by multilevel finite element method ⋮ Model reduction on approximate inertial manifolds for NS equations through multilevel finite element method and hierarchical basis

Cites Work

• Invariant manifolds for flows in Banach spaces
• Inertial manifolds and slow manifolds
• Inertial manifolds for nonlinear evolutionary equations
• On a certain system of equations with delay, occurring in aeroelasticity
• Infinite-dimensional dynamical systems in mechanics and physics
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Theory of functional differential equations. 2nd ed
• Some second-order vibrating systems cannot tolerate small time delays in their damping
• Invariant manifolds for retarded semilinear wave equations
• Some new generalizations of inertial manifolds
• Inertial manifolds with and without delay
• Inertial manifolds with delay for retarded semilinear parabolic equations
• Existence and Stability for Partial Functional Differential Equations
• Inertial manifolds for retarded semilinear parabolic equations
• Twistor spaces and harmonic maps
• Delay-partial differential equations with some large diffusion
• Long—time behaviour of strong solutions of retarded nonlinear P.D.E.s
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