منابع مشابه
Inertial manifolds under multistep discretization
Finite-dimensional inertial manifolds attract solutions to a nonlinear parabolic diierential equation at an exponential rate. In this paper inertial manifolds for multistep discretizations of such equations are studied. We provide an existence result for inertial manifolds under multistep discretization and show that these inertial manifolds converge to the inertial manifold of the original equ...
متن کاملInertial Manifolds for Partial Differential Evolution Equations under Time- Discretization: Existence, Convergence, and Applications
Dans ce travail nous ttudions l’existence et la convergence de variites inertielles pour la discretisation en temps d’equations d’evolution. Nous montrons que pour des pas de temps petits, et sous une condition qui assure l’existence de varietts inertielles exactes (condition d&cart spectral), le probleme disc&i& posdde une varitti: inertielle de mCme dimension. Nous montrons la convergence de ...
متن کاملComputing Inertial Manifolds
This paper discusses two numerical schemes that can be used to approximate inertial manifolds whose existence is given by one of the standard methods of proof. The methods considered are fully numerical, in that they take into account the need to interpolate the approximations of the manifold between a set of discrete gridpoints. As all the discretisations are refined the approximations are sho...
متن کاملApproximation theories for inertial manifolds
© AFCET, 1989, tous droits réservés. L’accès aux archives de la revue « Modélisation mathématique et analyse numérique » implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de cop...
متن کاملInertial Manifolds with and without Delay
This article discusses the relationship between the inertial manifolds " with delay " introduced by Debussche & Temam, and the standard definition. In particular, the " multi-valued " manifold of the same paper is shown to arise naturally from the manifolds " with delay " when considering issues of convergence as the delay time tends to infinity. This leads to a new characterisation of the mult...
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 1989
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/1989230303951