Electron. J. Diff. Equ., Vol. 2012 (2012), No. 220, pp. 1-14.

Front tracking for a 2X2 system of conservation laws

Paolo Baiti, Edda Dal Santo

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.

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Paolo Baiti
Dipartimento di Matematica e Informatica
Università di Udine, Via delle Scienze 206
Udine 33100, Italy
email: paolo.baiti@uniud.it
Edda Dal Santo
Dipartimento di Matematica e Informatica
Università di Udine, Via delle Scienze 206
Udine 33100, Italy
email: edda.dalsanto@uniud.it

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