## Abstract This paper is devoted to the study of the Cauchy problem of incompressible magneto‐hydrodynamics system in the framework of Besov spaces. In the case of spatial dimension __n__⩾3, we establish the global well‐posedness of the Cauchy problem of an incompressible magneto‐hydrodynamics sys
Local well-posedness for the Cauchy problem of the MHD equations with mass diffusion
✍ Scribed by Jishan Fan; Lidiao Ni; Yong Zhou
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 110 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1399
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✦ Synopsis
This paper studies the Cauchy problem of the MHD equations with mass diffusion. We use the Tikhonov fixed point theorem to prove a local-in-time well-posedness theorem.
📜 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 → 0, the MH
## Abstract In this paper, several boundary element regularization methods, such as iterative, conjugate gradient, Tikhonov regularization and singular value decomposition methods, for solving the Cauchy problem associated to the Helmholtz equation are developed and compared. Regularizing stopping