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- W4287996903 abstract "We analyze nonlinear dynamics of the Kelvin-Helmholtz quantum instability of the He-II free surface, which evolves during counterpropagation of the normal and superfluid components of liquid helium. It is shown that in the vicinity of the linear stability threshold, the evolution of the boundary is described by the $|phi|^4$ Klein-Gordon equation for the complex amplitude of the excited wave with cubic nonlinearity. It is important that for any ratio of the densities of the helium component, the nonlinearity plays a destabilizing role, accelerating the linear instability evolution of the boundary. The conditions for explosive growth of perturbations of the free surface are formulated using the integral inequality approach. Analogy between the Kelvin-Helmholtz quantum instability and electrohydrodynamic instability of the free surface of liquid helium charged by electrons is considered." @default.
- W4287996903 created "2022-07-26" @default.
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- W4287996903 date "2019-12-09" @default.
- W4287996903 modified "2023-09-27" @default.
- W4287996903 title "Explosive Development of the Quantum Kelvin-Helmholtz Instability on the He-II Free Surface" @default.
- W4287996903 hasPublicationYear "2019" @default.
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