Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:458

Article

Li, Yachun^1,2  Xi, Shuai³ 

[1] Shanghai Jiao Tong Univ, MOE LSC, Sch Math Sci, Shanghai 200240, Peoples R China

[2] Shanghai Jiao Tong Univ, SHL MAC, Shanghai 200240, Peoples R China

[3] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

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

DOI  :  10.1016/j.jmaa.2017.10.001

来源: Elsevier

【 摘 要 】

We consider the blow-up criteria for the Cauchy problems of three-dimensional compressible radiation fluids with vacuum. It is shown to own the same BKM-type criterion as the compressible Navier Stokes equations [14], while the L-(p) over tilde ((p) over tilde is an element of [2,3]) norm of the density gradient should be involved for the Serrin-type criterion. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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