Glimm's method and density of wild data for the Euler system of gas dynamics
Analysis of PDEs
2023-05-01 v1
Abstract
We adapt Glimm's approximation method to the framework of convex integration to show density of wild data for the (complete) Euler system of gas dynamics. The desired infinite family of entropy admissible solutions emanating from the same initial data is obtained via convex integration of suitable Riemann problems pasted with local smooth solutions. In addition, the wild data belong to BV class.
Cite
@article{arxiv.2304.14716,
title = {Glimm's method and density of wild data for the Euler system of gas dynamics},
author = {Elisabetta Chiodaroli and Eduard Feireisl},
journal= {arXiv preprint arXiv:2304.14716},
year = {2023}
}