Abstract
In this paper we consider the compressible models of magnetohydrodynamic flows giving rise to a variety of mathematical problems in many areas. We study the asymptotic limit for the compressible rotational magnetohydrodynamic flows with the well-prepared initial data such that we derive a rigorous quasi-geostrophic equation with diffusion term governed by the magnetic field from a compressible rotational magnetohydrodynamic flows. This paper covers two results: the existence of the unique global strong solution of quasi-geostrophic equation with good regularity on the velocity and magnetic field and the derivation of quasi-geostrophic equation with diffusion.
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Communicated by G.-Q. Chen
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The work of the first author was partially supported by NRF-2017R1D1A1B03030249 and NRF-2019H1D3A2A01101128.
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Kwon, YS., Lin, YC. & Su, CF. Asymptotic Limit for Rotational Compressible Magnetohydrodynamic Flows. J. Math. Fluid Mech. 22, 25 (2020). https://doi.org/10.1007/s00021-020-0487-5
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DOI: https://doi.org/10.1007/s00021-020-0487-5