典型文献
Stability of Viscous Shock Wave for One?Dimensional Compressible Navier?Stokes System
文献摘要：
In this article, the nonlinear stability of viscous shock wave for 1-D compressible Navier-Stokes system is studied. By the standard local existence method, it is found that the solution exists on a finite time interval [ 0,T] ( T < ￥) . However, this method is not available for global existence since the solution may blow up as time t tends to infinity. Thus a priori estimate needs to be established, which can reduce the upper bound of the solution on the time interval [ 0,T] . Moreover, the bound of the solution at time t = T is made equal to the bound at the initial time. By the same method, it is known the solution exists on [ T,2T] ,[ 2T, 3T] ,…. Thus the global existence of the solution is obtained. During the process of obtaining a priori estimate by the standard method, some additional conditions are proposed. To weaken those conditions, two suitable weighted functions were chosen, a double side weighted energy method was used, and a priori estimate was obtained under some weaker conditions. Thus when the adiabatic exponentγsatisfies 1 < γ <1.5, the solution not only exists globally but also tends to a viscous shock wave as time goes to infinity.
文献关键词：
中图分类号：
作者姓名：
Lin Chang
作者机构：
School of Mathematical Sciences,Beihang University,Beijing 100191,China
文献出处：
引用格式：
[1]Lin Chang-.Stability of Viscous Shock Wave for One?Dimensional Compressible Navier?Stokes System)[J].哈尔滨工业大学学报（英文版）,2022(04):49-57
A类：
B类：
Stability,Viscous,Shock,Wave,One,Dimensional,Compressible,Navier,Stokes,System,In,this,article,nonlinear,stability,viscous,shock,wave,compressible,system,studied,By,standard,local,existence,method,found,that,solution,exists,finite,interval,However,not,available,since,may,blow,tends,infinity,Thus,priori,estimate,needs,be,established,which,can,reduce,upper,bound,Moreover,made,equal,initial,same,known,2T,3T,obtained,During,process,obtaining,by,some,additional,conditions,are,proposed,To,weaken,those,two,suitable,weighted,functions,were,chosen,double,side,energy,was,used,under,weaker,when,adiabatic,exponent,satisfies,only,globally,but,also,goes
AB值：
0.564496
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
