%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).


%K Entropy Solutions %K Isentropic Gas Dynamics %K Lax Entropy %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=45340