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arxiv:2407.01938
Ill-posedness of the Kelvin-Helmholtz problem for compressible Euler fluids
Published on Jul 2, 2024
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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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