Existence of weak solutions to the three-dimensional density-dependent generalized incompressible magnetohydrodynamic flows
arXiv:1112.4121
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.
32pages
References in corpus (3)
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- Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
- Incompressible limit of the compressible magnetohydrodynamic equations with vanishing viscosity coefficients