Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (5): 1445-1464.

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

Xin Liu1,*(),Xiaolei Dong2()   

  1. 1 School of Statistics and Information, Shanghai University of International Business and Economics, Shanghai 201620
    2 College of Information Sciences and Technology, Donghua University, Shanghai 201620
  • Received:2019-07-24 Online:2021-10-26 Published:2021-10-08
  • Contact: Xin Liu;
  • Supported by:
    the NSFC(11801357)


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.

Key words: Micropolar fluid model, Non-isentropic, Low Mach number limit, Uniform estimates

CLC Number: 

  • O175