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• W2929827953 abstract "The present work is dedicated to the well‐posedness issue of strong solutions (away from vacuum) to the compressible viscous magnetohydrodynamic (MHD) system in ( d ≥ 2). We aim at extending those results in previous studies to more general L p critical framework. Precisely, by recasting the whole system in Lagrangian coordinates, we prove the local existence and uniqueness of solutions by means of Banach fixed‐point theorem. Furthermore, with the aid of effective velocity, we employ the energy argument to establish global a priori estimates, which lead to the unique global solution near constant equilibrium. Our results hold in case of small data but large highly oscillating initial velocity and magnetic field." @default.
• W2929827953 created "2019-04-11" @default.
• W2929827953 creator A5052885144 @default.
• W2929827953 creator A5066912407 @default.
• W2929827953 date "2019-04-05" @default.
• W2929827953 modified "2023-10-17" @default.
• W2929827953 title "Global well‐posedness for the compressible magnetohydrodynamic system in the critical <i>L</i> ^<i>p</i> framework" @default.
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• W2929827953 doi "https://doi.org/10.1002/mma.5604" @default.
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