The Ostrovsky Hunter equation with a space dependent flux function
Numerical Analysis
2018-12-21 v1
Abstract
We study the periodic Ostrovsky-Hunter equation in the case where the flux function may depend on the spatial variable. Our main results are that if the flux function is twice differentiable, then there exists a unique entropy solution. This entropy solution may be constructed as a limit of approximate solutions generated by a finite volume scheme, and the finite volume approximations converge to the entropy solution at a rate 1/2.
Cite
@article{arxiv.1812.08463,
title = {The Ostrovsky Hunter equation with a space dependent flux function},
author = {Neelabja Chatterjee and Nils Henrik Risebro},
journal= {arXiv preprint arXiv:1812.08463},
year = {2018}
}
Comments
16 pages, 2 figures, 1 table