Article citationsMore>>

Lions, P.L., Perthame, B. and Souganidis, P.E. (1996) Existence and Stability of Entropy Solutions for the Hyperbolic Systems of Isentropic Gas Dynamics in Eulerian and Lagrangian Coordinates. Communications on Pure and Applied Mathematics, 49, 599-638.
http://dx.doi.org/10.1002/(SICI)1097-0312(199606)49:6<599::AID-CPA2>3.0.CO;2-5

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).