Article citationsMore>>

Shearer, J. (1994) Global Existence and Compactness in for the Quasilinear Wave Equation. Communications in Partial Differential Equations, 19, 1829-1877.

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).