Solution semiflow to the compressible Euler equations with damping

被引:1
作者
Tan, Zhong [1 ]
Wu, Zhonger [1 ]
Xie, Minghong [1 ]
机构
[1] Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China
关键词
Compressible Euler equations; Damping; Solution semiflow; Dissipative solution; NONLINEAR DIFFUSION WAVES; MEASURE-VALUED SOLUTIONS; WEAK-STRONG UNIQUENESS; TIME BEHAVIOR; CONVERGENCE; SYSTEM;
D O I
10.1016/j.jmaa.2021.125313
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the 3D isentropic compressible Euler equations with damping in periodic domain. Inspired by the theory of Markov semigroups, we show the existence of solution semiflow which satisfies the standard semigroup property and minimizes the energy (maximizes the energy dissipation) among all dissipative solutions. (c) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页数:20
相关论文
共 26 条
[21]   The 3D compressible Euler equations with damping in a bounded domain [J].
Pan, Ronghua ;
Zhao, Kun .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (02) :581-596
[22]   Long time behavior of solutions to the 3D compressible Euler equations with damping [J].
Sideris, TC ;
Thomases, B ;
Wang, DH .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2003, 28 (3-4) :795-816
[23]  
Stroock D. W., 2006, CLASSICS MATH
[24]   Time periodic solution to the compressible Euler equations with damping in a periodic domain [J].
Tan, Zhong ;
Xu, Qiuju ;
Wang, Huaqiao .
NONLINEARITY, 2016, 29 (07) :2024-2049
[25]   Large time behavior of solutions for compressible Euler equations with damping in R3 [J].
Tan, Zhong ;
Wu, Guochun .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (02) :1546-1561
[26]   Convergence to strong nonlinear diffusion waves for solutions of p-system with damping [J].
Zhao, HJ .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 174 (01) :200-236