Cauchy problem for non-autonomous Navier-Stokes equations in an unbounded domain. Issue 4 (2nd April 2016)

• Record Type: Journal Article
• Authors: Wen, Shenglan
• Is Part Of: Applicable analysis. Volume 95:Issue 4(2016)
• Page Start: 748
• Page End: 768
• Publication Date: 2016-04-02
• Subjects: Navier–Stokes equations -- non-autonomous -- global existence; 35Q35 -- 35Q30 -- 35L65 -- 76N10; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2015.1029235
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : This paper concerns the global existence of solutions to a system of non-linear compressible non-autonomous Navier–Stokes equations in an unbounded domain. To prove the global existence, we first study an approximate problem in a bounded domain and obtain a priori estimates independent of the boundary of the domain. Then letting the diameter of the domain tend to infinity, we get a global spherically symmetric solution as the limit.