Paolo Baiti, Edda Dal Santo
Abstract:
This article studies a front-tracking algorithm for
systems of conservation laws. After revisiting the classical results
of DiPerna [12] and Bressan [8], we address the case of a
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 |
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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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