A question of the existence of fiolutions of boundary-value problems for differential equations with parameter was considered by many authors, see [1]-[3] and [5]-[9]. The analogous problems for differential equations with a deviated argument was discussed in [8] and [3]. The purpose of this paper
On existence and regularity of solutions for 2-D micropolar fluid equations with periodic boundary conditions
β Scribed by Piotr Szopa
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 162 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.788
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
In this paper, we prove the existence and uniqueness of a global solution for 2βD micropolar fluid equation with periodic boundary conditions. Then we restrict ourselves to the autonomous case and show the existence of a global attractor. Copyright Β© 2006 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
## Abstract We shall derive some global existence results to semilinear wave equations with a damping coefficient localized near infinity for very special initial data in __H__Γ__L__^2^. This problem is dealt with in the twoβdimensional exterior domain with a starβshaped complement. In our result,
We extend previous results for the Neumann boundary value problem to the case of boundary data from the space H -1 2 +e (C), 0<e< 1 2 , where C = \*X is the boundary of a two-dimensional cone X with angle b<p. We prove that for these boundary conditions the solution of the Helmholtz equation in X ex