Blow-up of Viscous Compressible Reactive Self-gravitating Gas  

作　　者：Fei JIANG Zhong TAN 

机构地区：[1]School of Mathematical Sciences, Xiamen University, Xiamen 361005, China [2]Institute of Applied Physics and Computational Mathematics, l~eijlng IUUUI~, L）hma

出　　处：《Acta Mathematicae Applicatae Sinica》2012年第2期401-408,共8页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 10531020,10976062 and 11101044)

摘　　要：In this paper, we prove some results concerning blow-up of viscous compressible reactive （selfgravitating） flows when the initial density is compactly supported and the other initial value satisfy proper conditions. It extends the work of Xin and Cho to the case of viscous compressible reactive self-gravitating flows equations. We control the lower bound of second moment by total energy and obtain the precise relationship between the size of the support of initial density and the existence time.In this paper, we prove some results concerning blow-up of viscous compressible reactive （selfgravitating） flows when the initial density is compactly supported and the other initial value satisfy proper conditions. It extends the work of Xin and Cho to the case of viscous compressible reactive self-gravitating flows equations. We control the lower bound of second moment by total energy and obtain the precise relationship between the size of the support of initial density and the existence time.

关 键 词：compressible Naviver-Stokes equations smooth solution reactive self-gravitating gas 

分 类 号：O357.5[理学—流体力学] P142[理学—力学]