Existence results for the radiation hydrodynamic equations with degenerate viscosity coefficients and vacuum

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:265

Article

Wang, Zhigang¹ 

[1] Fuyang Normal Coll, Sch Math & Stat, Fuyang 236037, Anhui, Peoples R China

关键词: Navier-Stokes-Boltzmann equations;    Regular solutions;    Strong solutions;    Vacuum;    Degenerate viscosity;    Blow-up criterion;   

DOI  :  10.1016/j.jde.2018.02.035

来源: Elsevier

【 摘 要 】

In this paper, we consider the compressible isentropic radiation hydrodynamic equations with density-dependent viscosity coefficients when the initial data are arbitrarily large and include vacuum at least appearing in the far field. Based on some reasonable assumptions for the radiation coefficients, we firstly establish the existence of a unique local regular solution, which implies the existence of the local strong solution. Moreover, we show a blow-up criterion for the regular solution that we obtained. (c) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free