Ill-posedness of the Kelvin-Helmholtz problem for compressible Euler fluids
偏微分方程分析
2024-07-03 v1
摘要
In this paper, when the magnitude of the Mach number is strictly between some fixed small enough constant and , we can prove the linear and nonlinear ill-posedness of the Kelvin-Helmholtz problem for compressible ideal fluids. To our best knowledge, this is the first reslult that proves the nonlinear ill-posedness to the Kelvin-Helmholtz problem for the compressible Euler fluids.
引用
@article{arxiv.2407.01938,
title = {Ill-posedness of the Kelvin-Helmholtz problem for compressible Euler fluids},
author = {Binqiang Xie and Bin Zhao},
journal= {arXiv preprint arXiv:2407.01938},
year = {2024}
}
备注
27pages. arXiv admin note: text overlap with arXiv:0911.4098 by other authors