一类可压缩磁流体方程组解的唯一性

On Uniqueness of Class Compressible Magneto-Hydrodynamic Equations

在一类可压缩磁流体方程组的局部解存在的条件下,假设初始密度有界,通过构造逼近解序列并利用紧致性讨论序列收敛的方法证明了在临界Besov空间中解的唯一性.

Based on the existence of local solutions of a class of compressible magneto-hydrodynamic equations,under the assumption that the initial density is bounded by constructing a sequence of smooth solutions,and with a compactness argument for the convergence of the sequence,the uniqueness of local solutions of initial value problems has been established in some critical Besov spaces for a class compressible magneto-hydrodynamic equations.