Approximate inertial manifolds for the system of the J-J equations
β Scribed by Cai Rizeng; Xu Zhenyuan
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 440 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0253-4827
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β¦ Synopsis
In this paper the Liapunov functionals has been constructed, the decay property of the high dimensional modes of the J-J equations in the Josephson junctions is obtained; and thus the approximate inertial manifolds are given.
π 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
Communicated by B
## 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