Global classical solutions to the compressible micropolar viscous fluids with large oscillations and vacuum
Abstract
In this paper, we consider the three dimensional Cauchy problem of the compressible micropolar viscous flows. We prove the existence of unique global classical solution for smooth initial data with small initial energy but possibly large oscillations and the initial density may allowed to contain the interior and far field vacuum states. Furthermore, the large time behavior of the solution is obtained as well.
- Publication:
-
Mathematical Methods in the Applied Sciences
- Pub Date:
- January 2023
- DOI:
- 10.1002/mma.8490
- arXiv:
- arXiv:2205.14239
- Bibcode:
- 2023MMAS...46...28Z
- Keywords:
-
- Mathematics - Analysis of PDEs
- E-Print:
- doi:10.1002/mma.8490