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Ding, X.-X., Chen, G.-Q. and Luo, P.-Z. (1985) Convergence of the Lax-Friedrichs Schemes for the Isentropic Gas Dynamics I-II. Acta Mathematica Scientia, 5, 415-472.

has been cited by the following article:

• TITLE: Hyperbolic Approximation on System of Elasticity in Lagrangian Coordinates

  AUTHORS: Jose Francisco Caicedo, C. Klingenberg, Yunguang Lu, Leonardo Rendon

  KEYWORDS: Entropy Solutions, Isentropic Gas Dynamics, Lax Entropy

  JOURNAL NAME: Natural Science, Vol.6 No.7, April 25, 2014

  ABSTRACT: In this paper, we construct a sequence of hyperbolic systems (13) to approximate the general system of one-dimensional nonlinear elasticity in Lagrangian coordinates (2). For each fixed approximation parameter , we establish the existence of entropy solutions for the Cauchy problem (13) with bounded initial data (23).