Abstract
This article is concerned with the time periodic solution to the isentropic compressible Navier-Stokes equations in a periodic domain. Using an approach of parabolic regularization, we first obtain the existence of the time periodic solution to a regularized problem under some smallness and symmetry assumptions on the external force. The result for the original compressible Navier-Stokes equations is then obtained by a limiting process. The uniqueness of the periodic solution is also given.
| Original language | English |
|---|---|
| Pages (from-to) | 1015-1029 |
| Journal | Acta Mathematica Scientia |
| Volume | 36 |
| Issue number | 4 |
| Online published | 23 Jun 2016 |
| DOIs | |
| Publication status | Published - Jul 2016 |
Funding
C. Jin's research is supported by the Program for New Century Excellent Talents in University of the Ministry of Education (NCET-13-0804), NSFC (11471127), Guangdong Natural Science Funds for Distinguished Young Scholar (2015A030306029), The Excellent Young Teachers Program of Guangdong Province (HS2015007), Pearl River S&T Nova Program of Guangzhou (2013J2200064), and Special support program of Guangdong Province; T. Yang is supported by the General Research Fund of Hong Kong, CityU 104511.
Research Keywords
- Time periodic solution
- compressible Navier-Stokes equation
- topology degree
- energy method