The Ostrovsky Hunter equation with a space dependent flux function

2018/12/20 by Chatterjee, Neelabja, Risebro, Nils Henrik
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1812.08463

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.

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