Travelling wave solutions for an internal wave model
Matemática Contemporânea, 2022 . In this work we consider a reduced system that models internal waves at the interface of two immiscible, inviscid, incompressible and irrota-tional fluids limited by a rigid lid at the top and a flat bottom.
W. Lesinhovski, Ailín Ruiz de Zárate
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Classification of instabilities in parallel two-phase flow [PDF]
, 1996 There is extensive literature on the stability of parallel two-phase flow, both in the context of liquid-liquid as well as gas-liquid flow. Aimed at making this literature more transparent, this paper presents a classification,scheme for the various ...
Boomkamp, P.A.M. +2 more
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Membrane flutter induced by radiation of surface gravity waves on a uniform flow [PDF]
, 2020 We consider stability of an elastic membrane being on the bottom of a uniform horizontal flow of an inviscid and incompressible fluid of finite depth with free surface.
Kirillov, Oleg, Labarbe, Joris
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Extended Korteweg-de Vries equation for long gravity waves in incompressible fluid without strong limitation to surface deviation [PDF]
Physica Scripta, 2023 We have derived the extended Korteweg-de Vries equation describing the long gravity waves without limitation to surface deviation. The only restriction to the surface deviation is connected with the stability condition for appropriate solutions.
V. Kruglov
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Exact solutions and internal waves for the Antarctic Circumpolar Current in spherical coordinates
Studies in applied mathematics (Cambridge), 2021 This paper is concerned with some analytical aspects pertaining to the Antarctic Circumpolar Current. We use spherical coordinates in a rotating frame to derive a new exact and partially explicit solution to the governing equations of geophysical fluid ...
C. Martin, Ronald Quirchmayr
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Fundamental and Applied Hydrophysics, 2023 In this paper, we study the process of transformation of a localized wave packet over a bottom step in a three-layer fluid, in which the height of the step is equal to or exceeds the thickness of the lower layer; therefore, density stratification ...
N. A. Sannikov +3 more
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A systematic numerical study of the tidal instability in a rotating triaxial ellipsoid [PDF]
, 2010 The full non-linear evolution of the tidal instability is studied numerically in an ellipsoidal fluid domain relevant for planetary cores applications.
Aldridge +60 more
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Physica Scripta, 2023 Distinct models involving nonlinearity are mostly appreciated for illustrating intricate phenomena arise in the nature. The new (3+1)-dimensional generalized nonlinear Boiti-Leon-Manna-Pempinelli (BLMP) model describes the dynamical behaviors of ...
M. T. Islam +3 more
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Absolute and convective instabilities of an inviscid compressible mixing layer: Theory and applications [PDF]
, 2009 This study aims to examine the effect of compressibility on unbounded and parallel shear flow linear instabilities. This analysis is of interest for industrial, geophysical, and astrophysical flows. We focus on the stability of a wavepacket as opposed to
Begelman M. C. +3 more
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Swirling fluid flow in flexible, expandable elastic tubes: variational approach, reductions and integrability [PDF]
, 2019 Many engineering and physiological applications deal with situations when a fluid is moving in flexible tubes with elastic walls. In the real-life applications like blood flow, there is often an additional complexity of vorticity being present in the ...
Ivanov, Rossen, Putkaradze, Vakhtang
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