TITLE:
A New Application of the Flux Approximation Method on Hyperbolic Conservation Systems
AUTHORS:
Yunguang Lu, Ignacio Mantilla, Leonardo Rendon, Deyin Zheng
KEYWORDS:
Flux Approximation; Viscosity Approximation; Hyperbolic Conservation Laws; Weak Solutions; Compensated Compactness Method
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.9,
December
18,
2013
ABSTRACT: In this paper, we first summarize several applications of the flux approximation method on hyperbolic conservation systems. Then, we introduce two hyperbolic conservation systems (2.1) and (2.2) of Temple’s type, and prove that the global weak solutions of each system could be obtained by the limit of the linear combination of two systems.