Abstract
We study the MHD equations with small viscosity and resistivity coefficients, which may be different. This is a typical setting in high temperature plasmas. It was proved that the MHD equations are globally well-posed if the initial velocity is close to 0 and the initial magnetic field is close to a homogeneous magnetic field in the weighted Hölder spaces. The main novelty is that the closeness is independent of the dissipation coefficients.
Citation
Dongyi Wei. Zhifei Zhang. "Global well-posedness of the MHD equations in a homogeneous magnetic field." Anal. PDE 10 (6) 1361 - 1406, 2017. https://doi.org/10.2140/apde.2017.10.1361
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