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math.AP2024
Effect of weak elasticity on Kelvin-Helmholtz instability
Binqiang Xie, Boling Guo, Bin Zhao
In this paper, we present an analysis of the Kelvin-Helmholtz instability in two-dimensional ideal compressible elastic flows, providing a rigorous confirmation that weak elasticit…
math.AP2024
Ill-posedness of the Kelvin-Helmholtz problem for compressible Euler fluids
Binqiang Xie, Bin Zhao
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…