Generalized solution to a system of conservation law which is not strictly hyperbolic
Analysis of PDEs
2014-04-16 v1
Abstract
In this paper we study a non strictly system of conservation law when viscosity is present and viscosity is zero, which is studied in [10]. We show the existence and uniqueness of the solution in the space of generalized functions of Colombeau for the viscous problem and construct a solution to the inviscid system in the sense of association. Also we construct a solution using shadow wave approach [5] and Volpert product which was partly determined as vanishing viscosity limit in [10].
Keywords
Cite
@article{arxiv.1404.3883,
title = {Generalized solution to a system of conservation law which is not strictly hyperbolic},
author = {Manas R. Sahoo},
journal= {arXiv preprint arXiv:1404.3883},
year = {2014}
}
Comments
15 pages