Inertial Manifolds for Weakly and Strongly Dissipative Hyperbolic Equations
โ Scribed by Goritskii, A. Yu.; Chalkina, N. A.
- Book ID
- 125364587
- Publisher
- Springer US
- Year
- 2014
- Tongue
- English
- Weight
- 196 KB
- Volume
- 197
- Category
- Article
- ISSN
- 1573-8795
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๐ SIMILAR VOLUMES
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
The existence of inertial manifolds for dissipative nonlinear evolutionary equations under time discretizations of the semi-implicit Euler method is proved by using a generalized concept of spectral barrier for time-discretized equations. (~ 2004 Elsevier Ltd. All rights reserved.