Global well-posedness of a Bardina model
β Scribed by Yong Zhou; Jishan Fan
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 197 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
We prove the existence of a global smooth solution to a viscous simplified Bardina turbulence model when the spacial dimension n satisfies 3 β€ n β€ 8.
π SIMILAR VOLUMES
This paper is devoted to study the Cauchy problem for certain incompressible magnetohydrodynamics-a model. In the Sobolev space with fractional index s>1, we proved the local solutions for any initial data, and global solutions for small initial data. Furthermore, we also prove that as a β 0, the MH
We prove that the Korteweg-de Vries initial-value problem is globally well-posed in H -3/4 (R) and the modified Kortewegde Vries initial-value problem is globally well-posed in H 1/4 (R). The new ingredient is that we use directly the contraction principle to prove local well-posedness for KdV equat