Shock interaction in sphere symmetry
Analysis of PDEs
2023-10-11 v1
Abstract
We investigate the interaction of two oncoming shock waves in spherical symmetry for an ideal barotropic fluid. Our research problem is how to establish a local in time solution after the interaction point and determine the state behind the shock waves. This problem is a double free boundary problem, as the position of the shock waves in space time is unknown. Our work is based on a number of previous studies, including Lisibach's, who studied the case of plane symmetry. To solve this problem, we will use an iterative regime to establish a local in time solution.
Keywords
Cite
@article{arxiv.2310.06510,
title = {Shock interaction in sphere symmetry},
author = {Yuxuan Wang},
journal= {arXiv preprint arXiv:2310.06510},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:1907.03784, arXiv:2202.08111 by other authors