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- W2031771663 abstract "In this paper, we study the global well-posedness of classical solutions to the 2D compressible MHD equations with large initial data and vacuum. With the assumption $mu=const.$ and $lambda=rho^beta,~beta>1$ (Vav{i}gant-Kazhikhov Model) for the viscosity coefficients, the global existence and uniqueness of classical solutions to the initial value problem is established on the torus $mathbb{T}^2$ and the whole space $mathbb{R}^2$ (with vacuum or non-vacuum far fields). These results generalize the previous ones for the Vav{i}gant-Kazhikhov model of compressible Navier-Stokes." @default.
- W2031771663 created "2016-06-24" @default.
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- W2031771663 date "2014-09-19" @default.
- W2031771663 modified "2023-09-23" @default.
- W2031771663 title "Global Classical Solutions to the 2D Compressible MHD Equations with Large Data and Vacuum" @default.
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- W2031771663 doi "https://doi.org/10.48550/arxiv.1409.5665" @default.
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