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- W1958351934 abstract "In this paper we are concerned with the global well-posedness for the compressible MHD equations with large data. We show that if the shear viscosity $mu$ is a positive constant and the bulk viscosity $lambda$ is the power function of the density, that is, $lambda(rho)=rho^{beta}$ with $beta>3$, then the two dimensional compressible MHD system with the periodic boundary conditions on the torus $mathbb{T}^2$ have a unique global classical solution $(rho, u,H)$. In this work we extended the results about compressible Navier-Stokes equations in cite{Karzhikhov} to compressible MHD equations by applying several new techniques to overcome the coupling between velocity and magnetic field." @default.
- W1958351934 created "2016-06-24" @default.
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- W1958351934 date "2012-04-25" @default.
- W1958351934 modified "2023-09-25" @default.
- W1958351934 title "Global well-posedness for the two dimensional compressible MHD equations with large data" @default.
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- W1958351934 doi "https://doi.org/10.48550/arxiv.1204.5608" @default.
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