Ill-posedness of the Kelvin-Helmholtz problem for compressible Euler fluids

2024/07/02 by Xie, Binqiang, Zhao, Bin
#14J60(primary) #Analysis of PDEs (math.AP) #F.2.2 #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.01938

Abstract

In this paper, when the magnitude of the Mach number is strictly between some fixed small enough constant and √(2), 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.

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