一维非等熵可压缩微极流体的低马赫数极限

Low Mach Number Limit to One-Dimensional Non-Isentropic Compressible Viscous Micropolar Fluid Model

该文研究了具有一般初值的一维非等熵可压缩粘性微极流体模型,得到了该模型的低马赫数极限.该极限依赖于对加权时间导数的一致估计和一个广义的收敛引理.此外,在这种情况下,±∞处的状态之间的差异可能是任意大的.

In this paper,we consider the one dimensional non-isentropic compressible micropolar fluid model with general initial data,and justify rigorously the low Mach number limit of this system.The limit relies on the uniform estimates including weighted time derivatives and an extended convergence lemma.Moreover,the difference between the states at ±∞ can be arbitrary large in this case.