Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 220, pp. 1-14.

Title: Front tracking for a 2X2 system of conservation laws
        
Authors: Paolo Baiti    (Univ. di Udine, Italy)
         Edda Dal Santo (Univ. di Udine, Italy)

Abstract:
 This article studies a front-tracking algorithm for $2\times2$
 systems of  conservation laws. After revisiting the classical results
 of DiPerna [12]  and Bressan [8],  we address the case of a 
 $2\times2$ system  arising in the study of
 granular flows [2]. For the latter we  prove the well-definiteness
 of a simplified front-tracking algorithm and  its convergence to a
 weak entropic solution of the system, in the case of large BV initial data.

Submitted August 3, 2012. Published November 29, 2012.
Math Subject Classifications: 35L65, 35L67, 35A01.
Key Words: Systems of conservation laws; hyperbolic; large data.