Time periodic solution to the compressible navier-stokes equations in a periodic domain
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1015-1029 |
| Journal / Publication | Acta Mathematica Scientia |
| Volume | 36 |
| Issue number | 4 |
| Online published | 23 Jun 2016 |
| Publication status | Published - Jul 2016 |
Link(s)
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.
Research Area(s)
- Time periodic solution, compressible Navier-Stokes equation, topology degree, energy method
Citation Format(s)
Time periodic solution to the compressible navier-stokes equations in a periodic domain. / JIN, Chunhua; YANG, Tong.
In: Acta Mathematica Scientia, Vol. 36, No. 4, 07.2016, p. 1015-1029.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
