Blow-up criterion for the 3D compressible non-isentropic Navier-Stokes equations without thermal conductivity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:431

Article

Li, Yachun^1,2  Xu, Junru¹  Zhu, Shengguo¹ 

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Shanghai Jiao Tong Univ, Key Lab Sci & Engn Comp MOE, Shanghai 200240, Peoples R China

关键词: Navier-Stokes;    Strong solutions;    Vacuum;    Blow-up criterion;   

DOI  :  10.1016/j.jmaa.2015.06.015

来源: Elsevier

【 摘 要 】

In this paper, we prove a blow-up criterion in terms of the density rho and the pressure P for the strong solutions with vacuum to Cauchy problem of the 3D compressible non-isentropic Navier-Stokes equations without thermal conductivity. More precisely, we show that the strong solution exists globally if the norm parallel to(rho, P)parallel to(L infinity (0,T]xR3)) is bounded from above. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free