Asymptotic Limit to Shocks for Scalar Balance Laws Using Relative Entropy

被引：2
作者：
Kwon, Young-Sam [1 ]
机构：
[1] Dong A Univ, Dept Math, Pusan 604714, South Korea
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
FLUID DYNAMIC LIMITS; BOLTZMANN-EQUATION; KINETIC-EQUATIONS; GAS-DYNAMICS; UNIQUENESS; CONVERGENCE; STABILITY;
D O I：
10.1155/2014/690801
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a scalar balance law with a strict convex flux. In this paper, we study inviscid limit to shocks for scalar balance laws up to a shift function, which is based on the relative entropy.
引用
收藏
页数：7
相关论文
共 21 条
[1]   FLUID DYNAMIC LIMITS OF KINETIC-EQUATIONS .1. FORMAL DERIVATIONS [J].
BARDOS, C ;
GOLSE, F ;
LEVERMORE, D .
JOURNAL OF STATISTICAL PHYSICS, 1991, 63 (1-2) :323-344
[2]   FLUID DYNAMIC LIMITS OF KINETIC EQUATIONS-II CONVERGENCE PROOFS FOR THE BOLTZMANN-EQUATION [J].
BARDOS, C ;
GOLSE, F ;
LEVERMORE, CD .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1993, 46 (05) :667-753
[3]   From kinetic equations to multidimensional isentropic gas dynamics before shocks [J].
Berthelin, F ;
Vasseur, A .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2005, 36 (06) :1807-1835
[4]   From Discrete Velocity Boltzmann Equations to Gas Dynamics Before Shocks [J].
Berthelin, Florent ;
Tzavaras, Athanasios E. ;
Vasseur, Alexis .
JOURNAL OF STATISTICAL PHYSICS, 2009, 135 (01) :153-173
[5]   Uniqueness and stability of Riemann solutions with large oscillation in gas dynamics [J].
Chen, GQ ;
Frid, H ;
Li, YC .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 228 (02) :201-217
[6]  
Choi G., RELATIVE ENTROPY APP
[7]  
Dafermos C., 1996, Recent Mathematical Methods in Nonlinear Wave Propagation (Montecatini Terme, 1994), V1640, P48
[8]  
DAFERMOS CM, 1979, ARCH RATION MECH AN, V70, P167, DOI 10.1007/BF00250353
[9]   UNIQUENESS OF SOLUTIONS TO HYPERBOLIC CONSERVATION-LAWS [J].
DIPERNA, RJ .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (01) :137-188
[10]   Weak-Strong Uniqueness Property for the Full Navier-Stokes-Fourier System [J].
Feireisl, Eduard ;
Novotny, Antonin .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2012, 204 (02) :683-706
123