Abstract
This paper deals with the 2D incompressible MHD equations with density-dependent viscosity in bounded domain. The global existence of strong solutions are established in the vacuum cases, provided the assumption that \(\bar{\rho }+\|b_{0}\|_{L^{4}}\) is suitably small with large velocity. Furthermore, the exponential decay of the solution is also obtained.
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The author is supported by National Natural Science Foundation of China (No. 11901288).
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Liu, Y. Global Regularity of the 2D Density-Dependent MHD with Vacuum. Acta Appl Math 171, 13 (2021). https://doi.org/10.1007/s10440-020-00381-3
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DOI: https://doi.org/10.1007/s10440-020-00381-3