Article citationsMore>>

R. J. DiPerna, “Convergence of Approximate Solutions to Conservation Laws,” Archive for Rational Mechanics and Analysis, Vol. 82, No. 1, 1983, pp. 27-70.

has been cited by the following article:

• 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.