Non-uniqueness of admissible weak solutions to the two-dimensional barotropic compressible Euler system with contact discontinuities
Analysis of PDEs
2026-03-26 v1
Abstract
This paper is concerned with the Riemann problem for the two-dimensional barotropic compressible Euler system with a general strictly increasing pressure law. By means of convex integration, the existence of infinitely many admissible weak solutions is established for certain Riemann initial data for which the corresponding one-dimensional self-similar solution consists solely of a contact discontinuity.
Cite
@article{arxiv.2603.23921,
title = {Non-uniqueness of admissible weak solutions to the two-dimensional barotropic compressible Euler system with contact discontinuities},
author = {Kotaro Horimoto},
journal= {arXiv preprint arXiv:2603.23921},
year = {2026}
}