Well-Posedness and Optimal Time-Decay for Compressible MHD System in Besov Space
作者： Junxiong Jia , Jigen Peng , Kexue Li
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摘要: In this paper, firstly, we prove the global well-posedness of three dimensional compressible magnetohydrodynamics equations for some classes large initial data, which may have oscillation density and energy velocity magnetic field. Secondly, optimal time decay with low regularity assumptions about data. Especially, can obtain $L^{2}$ rate when data small in critical Besov space (no condition $H^{N/2+1}$). When calculate rate, use differential type estimates homogeneous space, evolution negative results proved first part.
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