%0 Journal Article %T Hyperbolic Approximation on System of Elasticity in Lagrangian Coordinates %A Jose Francisco Caicedo %A C. Klingenberg %A Yunguang Lu %A Leonardo Rendon %J Natural Science %P 477-486 %@ 2150-4105 %D 2014 %I Scientific Research Publishing %R 10.4236/ns.2014.67046 %X
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).