Time-discretization and inertial manifolds

F. Demengel; J. M. Ghidaglia

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1989)

  • Volume: 23, Issue: 3, page 395-404
  • ISSN: 0764-583X

How to cite

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Demengel, F., and Ghidaglia, J. M.. "Time-discretization and inertial manifolds." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 23.3 (1989): 395-404. <http://eudml.org/doc/193568>.

@article{Demengel1989,
author = {Demengel, F., Ghidaglia, J. M.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {time-discretization; inertial manifolds; long time behaviour; infinite dimensional dynamical system; Complex amplitude equations; strongly dissipative perturbations; Korteweg-de Vries equation},
language = {eng},
number = {3},
pages = {395-404},
publisher = {Dunod},
title = {Time-discretization and inertial manifolds},
url = {http://eudml.org/doc/193568},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Demengel, F.
AU - Ghidaglia, J. M.
TI - Time-discretization and inertial manifolds
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1989
PB - Dunod
VL - 23
IS - 3
SP - 395
EP - 404
LA - eng
KW - time-discretization; inertial manifolds; long time behaviour; infinite dimensional dynamical system; Complex amplitude equations; strongly dissipative perturbations; Korteweg-de Vries equation
UR - http://eudml.org/doc/193568
ER -

References

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  1. [1] F. DEMENGEL and J. M. GHIDAGLIA, Inertial manifolds for partial differential evolution equations under time-discretization : existence, convergence and applications, Preprint, Orsay, 1988 ; see also C.R. Acad. Sci. Paris, t. 307, Série I, 1988. Zbl0726.35056MR964105
  2. [2] F. DEMENGEL and J. M. GHIDAGLIA, Construction of inertial manifolds via the Lyapunov-Perron method, Compte rendu du Groupe de travail sur les variétés inertielles, Orsay, to appear. Zbl0723.58033
  3. [3] C. FOIAS, G. SELL and R. TEMAM, Inertial manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73 (1988) 309-353. Zbl0643.58004MR943945
  4. [4] M. LUSKIN and G. R. SELL, Approximation théories for inertial manifolds, M2AN, vol. 23 (1983) n° 3, 445-461. Zbl0688.58035MR1014485
  5. [5] R. TEMAM, Infinite Dimensional Dynamical Systems in Mechanics and Physies, Springer, New-York, 1988. Zbl0662.35001MR953967
  6. [6] J. HALE, Asymptotic Behavior of Dissipative Systems, Mathematical Surveys and Monographs n° 25, A M.S., Providence, 1988. Zbl0642.58013MR941371

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