Blow‐up of the smooth solutions to the compressible Navier–Stokes equations. (20th March 2017)

• Record Type: Journal Article
• Authors: Wang, Guangwu; Guo, Boling; Fang, Shaomei
• Is Part Of: Mathematical methods in the applied sciences. Volume 40:Number 14(2017)
• Page Start: 5262
• Page End: 5272
• Publication Date: 2017-03-20
• Subjects: blow up of smooth solution -- compressible Navier–Stokes equations -- Navier‐slip boundary; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.4384
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we will firstly extend the results about Jiu, Wang, and Xin (JDE, 2015, 259, 2981–3003). We prove that any smooth solution of compressible fluid will blow up without any restriction about the specific heat ratio γ . Then we prove the blow‐up of smooth solution of compressible Navier–Stokes equations in half space with Navier‐slip boundary. The main ideal is constructing the differential inequality. Copyright © 2017 John Wiley & Sons, Ltd.