Existence and uniqueness of global classical solutions to 3D isentropic compressible Navier-Stokes equations with general initial data  

作　　者：ZHANG PeiXin ZHAO JunNing 

机构地区：[1]School of Mathematical Sciences,Xiamen University [2]School of Mathematical Sciences,Huaqiao University

出　　处：《Science China Mathematics》2014年第7期1463-1478,共16页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.11001090 and 10971171);the Fundamental Research Funds for the Central Universities (Grant No.11QZR16)

摘　　要：In this paper we study the global existence and uniqueness of classical solutions to the Cauchy problem for 3D isentropic compressible Navier-Stokes equations with general initial data which could contain vacuum.We give the relation between the viscosity coefficients and the initial energy,which implies that the Cauchy problem under consideration has a global classical solution.In this paper we study the global existence and uniqueness of classical solutions to the Cauchy problem for 3D isentropic compressible Navier-Stokes equations with general initial data which could contain vacuum.We give the relation between the viscosity coefficients and the initial energy,which implies that the Cauchy problem under consideration has a global classical solution.

关 键 词：compressible Navier-Stokes equations general initial data global classical solutions 

分 类 号：O175[理学—数学]