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Inertial Manifolds for von Karman Plate Equations

โœ Scribed by Igor Chueshov; Irena Lasiecka

Publisher
Springer
Year
2002
Tongue
English
Weight
204 KB
Volume
46
Category
Article
ISSN
0095-4616

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๐Ÿ“œ SIMILAR VOLUMES

Regularity of solutions and approximate
Regularity of solutions and approximate inertial manifolds for von Karman evolution equations
โœ I. D. Chueshov ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 651 KB

## Abstract The necessary and sufficient conditions of regularity of solutions of von Karman evolution equations are derived. It is proved that a global attractor consists of smooth functions for these evolution equations. The results obtained are used to construct a family of approximate inertial

C1Approximations of Inertial Manifolds f
C1Approximations of Inertial Manifolds for Dissipative Nonlinear Equations
โœ Don A. Jones; Edriss S. Titi ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 714 KB

In this paper we study a class of nonlinear dissipative partial differential equations that have inertial manifolds. This means that the long-time behavior is equivalent to a certain finite system of ordinary differential equations. We investigate ways in which these finite systems can be approximat