Work

The Ostrovsky–Hunter equation with a space dependent flux function

Year: 2025

Type: article

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.

Source: Journal of Numerical Mathematics

DOI: 10.1515/jnma-2024-0104

Authors: Neelabja Chatterjee, Nils H. Risebro

Institutions: North Eastern Regional Institute of Science and Technology, University of Oslo

Language: English

Topic: Computational Fluid Dynamics and Aerodynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,712

Funder: European Commission