On the compressible micropolar fluids in a time-dependent domain

作者：Huang, Bingkang; Necasova, Sarka; Zhang, Lan

来源：ANNALI DI MATEMATICA PURA ED APPLICATA, 2022, 201(6): 2733-2795.

DOI：10.1007/s10231-022-01218-6

• Compressible micropolar fluids
• Asymmetric stress tensor
• Slip boundary conditions
• Strong solution
• Weak solutions

We investigate compressible micropolar fluids on a time-dependent domain with slip boundary conditions. Our contribution in this paper is threefold. Firstly, we establish the local existence of the strong solution. Secondly, the global existence of weak solutions is shown. The third one is the weak-strong uniqueness principle for slip boundary conditions. There are several new ideas developed by us to overcome the difficulties caused by the coupled terms and slip boundary conditions.

• 单位
  武汉理工大学