Paper Info
Title
Global entropy solutions to a variant of the compressible Euler equations
Abstract
DiPerna [R.J. DiPerna, Global solutions to a class of nonlinear hyperbolic systems of equations, Comm. Rat. Pure Appl. Math. 26 (1973) 1–28] use the Glimm’s scheme method to obtain a global weak solution to the Euler equations of one-dimensional, compressible fluid flow with 1<γ<3, while in this work, we use the compensated compactness method coupled with some basic ideas of the kinetic formulation developed by Lions, Perthame, Souganidis and Tadmor [P.L. Lions, B. Perthame, P.E. Souganidis, Existence and stability of entropy solutions for the hyperbolic systems of isentropic gas dynamics in Eulerian and Lagrangian coordinates, Comm. Pure Appl. Math. 49 (1996) 599–638; P.L. Lions, B. Perthame, E. Tadmor, Kinetic formulation of the isentropic gas dynamics and p-system, Comm. Math. Phys. 163 (1994) 415–431] to obtain the existence of global entropy solutions to the system with a uniform amplitude bound.
Year
DOI
Venue
2008
10.1016/j.aml.2007.03.022
Applied Mathematics Letters
Keywords
Field
DocType
Strong entropy,Entropy solution,Kinetic formulation
Nonlinear system,Mathematical analysis,Lagrangian and Eulerian specification of the flow field,Weak solution,Eulerian path,Compressible flow,Euler equations,Numerical stability,Mathematics,Hyperbolic partial differential equation
Journal
Volume
Issue
ISSN
21
4
0893-9659
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Zhixin Cheng100.68