摘要
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.
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.
基金
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)
supported by the General Research Fund of Hong Kong,City U 104511
