Communications in Mathematical Sciences
Volume 14 (2016)
Time periodic solutions to the 3D compressible fluid models of Korteweg type
Pages: 705 – 733
This paper is concerned with time periodic solutions to the three-dimensional compressible fluid models of Korteweg type under some smallness and structure conditions on a time periodic force. The proof is based on a regularized approximation scheme and the topological degree theory for time periodic solutions in a bounded domain. Furthermore, via a limiting process, the existence results can be obtained in the whole space.
3D compressible Navier–Stokes–Korteweg system, time periodic solutions, uniform estimates, topological degree theory
2010 Mathematics Subject Classification
35B10, 35M10, 35Q35