Inertial manifolds for partial differential evolution equations under time-discretization: Existence, convergence, and applications
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Publication:803798
DOI10.1016/0022-247X(91)90034-WzbMath0726.35056MaRDI QIDQ803798
Jean-Michel Ghidaglia, Francoise Demengel
Publication date: 1991
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear differential equations in abstract spaces (34G20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)
Related Items (10)
Linearity inside nonlinearity: Exact solutions to the complex Ginzburg-Landau equation ⋮ Inertial manifold and state estimation of dissipative nonlinear PDE systems ⋮ On the qualitative behavior of the orbits of a parabolic partial differential equation and its discretization in the neighborhood of a hyperbolic fixed point ⋮ Attractive invariant fiber bundles ⋮ Spectral barriers and inertial manifolds for time- discretized dissipative equations ⋮ Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: Nonsmooth-data error estimates and applications to long-time behaviour ⋮ Inertial manifolds and normal hyperbolicity ⋮ Time-discretization and inertial manifolds ⋮ \textit{A priori} analysis of reduced description of dynamical systems using approximate inertial manifolds ⋮ Convergence of a chaotic attractor with increased spatial resolution of the Ginzburg-Landau equation.
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