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研究员、博士生导师,中国科学院数学与系统科学研究院 数学研究所 | Professor, Institute of Mathematics, AMSS, CAS
Well-posedness to the compressible viscous magnetohydrodynamic system
Chengchun Hao
Nonlinear Analysis: Real World Applications Volume 12, Issue 6, pp 2962–2972, 2011.
Abstract:This paper is concerned with the Cauchy problem of the compressible viscous magnetohydrodynamic (MHD) system in whole spatial space $\mathbb{R}^d$ for $d \geqslant 3$. It is shown that the global solution exists uniquely in hybrid Besov spaces provided the initial data close to a constant equilibrium state away from the vacuum.