典型文献
GLOBAL INSTABILITY OF MULTI-DIMENSIONAL PLANE SHOCKS FOR ISOTHERMAL FLOW
文献摘要：
In this paper,we are concerned with the long time behavior of the piecewise smooth solutions to the generalized Riemann problem governed by the compressible isother-mal Euler equations in two and three dimensions.A non-existence result is established for the fan-shaped wave structure solution,including two shocks and one contact discontinuity which is a perturbation of plane waves.Therefore,unlike in the one-dimensional case,the multi-dimensional plane shocks are not stable globally.Moreover,a sharp lifespan estimate is established which is the same as the lifespan estimate for the nonlinear wave equations in both two and three space dimensions.
文献关键词：
中图分类号：
作者姓名：
Ning-An LAI;Wei XIANG;Yi ZHOU
作者机构：
College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,China;Department of Mathematics,Lishui University,Lishui 323000,China;Department of Mathematics,City University of Hong Kong,Kowloon,Hong Kong 999077,China;School of Mathematical Sciences,Fudan University,Shanghai 200433,China
文献出处：
引用格式：
[1]Ning-An LAI;Wei XIANG;Yi ZHOU-.GLOBAL INSTABILITY OF MULTI-DIMENSIONAL PLANE SHOCKS FOR ISOTHERMAL FLOW)[J].数学物理学报（英文版）,2022(03):887-902
A类：
GLOBAL,INSTABILITY,DIMENSIONAL,PLANE,SHOCKS,ISOTHERMAL
B类：
OF,MULTI,FOR,FLOW,In,this,paper,we,are,concerned,long,behavior,piecewise,smooth,solutions,generalized,Riemann,problem,governed,by,compressible,isother,mal,Euler,equations,two,three,dimensions,existence,result,established,fan,shaped,structure,including,shocks,one,contact,discontinuity,which,perturbation,plane,waves,Therefore,unlike,dimensional,case,multi,not,stable,globally,Moreover,sharp,lifespan,estimate,same,nonlinear,both,space
AB值：
0.583905
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