典型文献
GLOBAL SOLUTIONS TO A 3D AXISYMMETRIC COMPRESSIBLE NAVIER-STOKES SYSTEM WITH DENSITY-DEPENDENT VISCOSITY
文献摘要：
In this paper,we consider the 3D compressible isentropic Navier-Stokes equations when the shear viscosity μ is a positive constant and the bulk viscosity is λ(ρ)=ρβ withβ＞2,which is a situation that was first introduced by Vaigant and Kazhikhov in[1].The global axisymmetric classical solution with arbitrarily large initial data in a periodic domainΩ={(r,z)|r=√x2+y2,(x,y,z)∈ R3,r ∈ I ?(0,+oo),-∞＜z＜+∞}is obtained.Here the initial density keeps a non-vacuum state ρ＞0 when z →±∞.Our results also show that the solution will not develop the vacuum state in any finite time,provided that the initial density is uniformly away from the vacuum.
文献关键词：
中图分类号：
作者姓名：
Mei WANG;Zilai LI;Zhenhua GUO
作者机构：
School of Sciences,Xi'an University of Technology,Xi'an 710048,China;School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454000,China;School of Mathematics and Information Science,Guangxi University,Nanning 530004,China
文献出处：
引用格式：
[1]Mei WANG;Zilai LI;Zhenhua GUO-.GLOBAL SOLUTIONS TO A 3D AXISYMMETRIC COMPRESSIBLE NAVIER-STOKES SYSTEM WITH DENSITY-DEPENDENT VISCOSITY)[J].数学物理学报（英文版）,2022(02):521-539
A类：
GLOBAL,AXISYMMETRIC,DENSITY,VISCOSITY,Vaigant,Kazhikhov,+oo
B类：
SOLUTIONS,COMPRESSIBLE,NAVIER,STOKES,SYSTEM,WITH,DEPENDENT,In,this,paper,we,consider,compressible,isentropic,Navier,Stokes,equations,when,shear,viscosity,positive,constant,bulk,which,situation,that,was,first,introduced,by,global,axisymmetric,classical,solution,arbitrarily,large,initial,data,periodic,domain,x2+y2,R3,obtained,Here,density,keeps,vacuum,state,Our,results,also,show,will,not,develop,any,finite,provided,uniformly,away,from
AB值：
0.62584
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