School of Mathematics and Statistics
Guangdong University of Technology
Guangzhou 510006, China
email: majiakai51@163.com
School of Mathematics and Statistics
Guangdong University of Technology
Guangzhou 510006, China
email: xbqmath@gdut.edu.cn
Jiakai Ma, Binqiang Xie
Abstract:
We prove the nonlinear ill-posedness of Kelvin-Helmholtz problems for compressible
Euler fluids with a radiation field. For this we assume that
the magnitude of the Mach number is between some
small enough constant \(\epsilon_0\) and \(\sqrt{2(1+\ell)}\)
in which \(\ell\) is the radiation parameter.
Submitted April 17, 2026. Published July 14, 2026.
Math Subject Classifications: 76W05, 35Q35, 35D05, 76X05.
Key Words: Free surface; Kelvin-Helmholtz instability; radiation field.
DOI: 10.58997/ejde.2026.55
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Jiakai Ma School of Mathematics and Statistics Guangdong University of Technology Guangzhou 510006, China email: majiakai51@163.com |
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Binqiang Xie School of Mathematics and Statistics Guangdong University of Technology Guangzhou 510006, China email: xbqmath@gdut.edu.cn |
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