典型文献
L2-CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR EULER EQUATIONS WITH TIME-DEPENDENT DAMPING
文献摘要：
In this paper,we are concerned with the asymptotic behavior of L∞weak-entropy solutions to the compressible Euler equations with a vacuum and time-dependent damping-m/(1+t)λ.As λ ∈(0,1/7],we prove that the L∞ weak-entropy solution converges to the nonlin-ear diffusion wave of the generalized porous media equation(GPME)in L2(R).As λ ∈(1/7,1),we prove that the L∞ weak-entropy solution converges to an expansion around the nonlinear diffusion wave in L2(R),which is the best asymptotic profile.The proof is based on intensive entropy analysis and an energy method.
文献关键词：
中图分类号：
作者姓名：
Shifeng GENG;Feimin HUANG;Xiaochun WU
作者机构：
School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China;Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China;School of Mathematics and Statistics,HNP-LAMA,Central South University,Changsha 410083,China
文献出处：
引用格式：
[1]Shifeng GENG;Feimin HUANG;Xiaochun WU-.L2-CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR EULER EQUATIONS WITH TIME-DEPENDENT DAMPING)[J].数学物理学报（英文版）,2022(06):2505-2522
A类：
CONVERGENCE,NONLINEAR,DIFFUSION,WAVES,EULER,EQUATIONS,DAMPING,GPME
B类：
L2,TO,FOR,WITH,TIME,DEPENDENT,In,this,paper,are,concerned,asymptotic,behavior,weak,entropy,solutions,compressible,Euler,equations,vacuum,dependent,damping,1+t,prove,that,converges,diffusion,wave,generalized,porous,media,expansion,around,nonlinear,which,best,profile,proof,intensive,analysis,energy,method
AB值：
0.457667
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