Multi-Time Systems of Conservation Laws
Analysis of PDEs
2013-05-28 v1
Abstract
Motivated by the work of P.L. Lions and J-C. Rochet [12], concerning multi-time Hamilton-Jacobi equations, we introduce the theory of multi-time systems of conservation laws. We show the existence and uniqueness of solution to the Cauchy problem for a system of multi-time conservation laws with two independent time variables in one space dimension. Our proof relies on a suitable generalization of the Lax-Oleinik formula.
Cite
@article{arxiv.1305.6290,
title = {Multi-Time Systems of Conservation Laws},
author = {Aldo Bazan and Paola Loreti and Wladimir Neves},
journal= {arXiv preprint arXiv:1305.6290},
year = {2013}
}
Comments
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