Non-uniqueness of entropy-conserving solutions to the ideal compressible MHD equations
Analysis of PDEs
2021-02-04 v1
Abstract
In this note we consider the ideal compressible magneto-hydrodynamics (MHD) equations in a special two dimensional setting. We show that there exist particular initial data for which one obtains infinitely many entropy-conserving weak solutions by using the convex integration technique. Our result is also true for the isentropic case.
Keywords
Cite
@article{arxiv.1902.01446,
title = {Non-uniqueness of entropy-conserving solutions to the ideal compressible MHD equations},
author = {Christian Klingenberg and Simon Markfelder},
journal= {arXiv preprint arXiv:1902.01446},
year = {2021}
}