## Abstract We are concerned with the Ostrovsky equation, which is derived from the theory of weakly nonlinear long surface and internal waves in shallow water under the presence of rotation. On the basis of the variational method, we show the existence of periodic traveling wave solutions. Copyrig
Existence and regularity of weak periodic solutions of the 2-D wave equation
β Scribed by J.K. Kim; N.H. Pavel
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 412 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0362-546X
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## 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.
We construct a class of weak solutions to the NavierαStokes equations, which have second order spatial derivatives and one order time derivatives, of p power s Ε½ 2, r Ε½ .. summability for 1p F 5r4. Meanwhile, we show that u g L 0, T ; W β with 1rs q 3r2 r s 2 for 1r F 5r4. r can be relaxed not to ex