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).