English

Existence of weak solutions to the three-dimensional density-dependent generalized incompressible magnetohydrodynamic flows

Dynamical Systems 2014-04-22 v2 Analysis of PDEs

Abstract

In this paper we consider the equations of the unsteady viscous, incompressible, and heat conducting magnetohydrodynamic flows in a bounded three-dimensional domain with Lipschitz boundary. By an approximation scheme and a weak convergence method, the existence of a weak solution to the three-dimensional density dependent generalized incompressible magnetohydrodynamic equations with large data is obtained.

Keywords

Cite

@article{arxiv.1112.4121,
  title  = {Existence of weak solutions to the three-dimensional density-dependent generalized incompressible magnetohydrodynamic flows},
  author = {Weiping Yan},
  journal= {arXiv preprint arXiv:1112.4121},
  year   = {2014}
}

Comments

32pages