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arxiv: 1112.4121 · v2 · pith:R26WPDJUnew · submitted 2011-12-18 · 🧮 math.DS · math.AP

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

classification 🧮 math.DS math.AP
keywords incompressiblemagnetohydrodynamicthree-dimensionalweakequationsexistenceflowsgeneralized
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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.

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