A stability criterion for two-fluid interfaces and applications

D Lannes - Archive for Rational Mechanics and Analysis, 2013 - Springer
We derive a new stability criterion for two-fluid interfaces that ensures the existence of
“stable” local solutions that do not break down too fast due to Kelvin–Helmholtz instabilities …

Development of the interfacial air layer in the non-aerated region of high-velocity spillway flows. Instabilities growth, entrapped air and influence on the self-aeration …

D Valero, DB Bung - International Journal of Multiphase Flow, 2016 - Elsevier
Self-aeration is traditionally explained by the water turbulent boundary layer outer edge
intersection with the free surface. This paper presents a discussion on the commonly …

Numerical modelling of subglacial ribs, drumlins, herringbones, and mega‐scale glacial lineations reveals their developmental trajectories and transitions

JC Ely, D Stevens, CD Clark… - Earth Surface Processes …, 2023 - Wiley Online Library
Initially a matter of intellectual curiosity, but now important for understanding ice‐sheet
dynamics, the formation of subglacial bedforms has been a subject of scientific enquiry for …

On the Kelvin-Helmholtz instability in superfluids

GE Volovik - Journal of Experimental and Theoretical Physics …, 2002 - Springer
Abstract The Kelvin-Helmholtz instability in superfluids is discussed on the basis of the first
experimental observation of such an instability at the interface between superfluid 3 He-A …

A weakly nonlinear theory for the dynamical Rayleigh–Taylor instability

M Berning, AM Rubenchik - Physics of Fluids, 1998 - pubs.aip.org
The dynamics of an interface between two incompressible, inviscid, irrotational, and
immiscible liquids with densities ρ 1 and ρ 2 under the influence of a time-dependent …

Exact solutions for nonlinear development of a Kelvin-Helmholtz instability for the counterflow of superfluid and normal components of Helium II

PM Lushnikov, NM Zubarev - Physical review letters, 2018 - APS
Relative motion of the normal and superfluid components of helium II results in the quantum
Kelvin-Helmholtz instability (KHI) at their common free surface. We found the integrability …

Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface

AI Dyachenko, PM Lushnikov… - Journal of Fluid …, 2019 - cambridge.org
We consider the Euler equations for the potential flow of an ideal incompressible fluid of
infinite depth with a free surface in two-dimensional geometry. Both gravity and surface …

Singularity formation on a fluid interface during the Kelvin-Helmholtz instability development

NM Zubarev, EA Kuznetsov - Journal of Experimental and Theoretical …, 2014 - Springer
The dynamics of singularity formation on the interface between two ideal fluids is studied for
the Kelvin-Helmholtz instability development within the Hamiltonian formalism. It is shown …

Whitham modulation equations, coalescing characteristics, and dispersive Boussinesq dynamics

DJ Ratliff, TJ Bridges - Physica D: Nonlinear Phenomena, 2016 - Elsevier
Whitham modulation theory with degeneracy in wave action is considered. The case where
all components of the wave action conservation law, when evaluated on a family of periodic …

Dynamics of the free surface of a conducting liquid in a near-critical electric field

NM Zubarev, OV Zubareva - Technical Physics, 2001 - Springer
Near-critical behavior of the free surface of a perfectly conducting liquid in an external
electric field is considered. Based on an analysis of three-wave processes using the method …