Hamiltonian formulation for wave-current interactions in stratified rotational flows

From MaRDI portal
Publication:2630271

DOI10.1007/s00205-016-0990-2zbMath1344.35084OpenAlexW2296255054WikidataQ58869908 ScholiaQ58869908MaRDI QIDQ2630271

Adrian Constantin, Calin Iulian Martin, Rossen I. Ivanov

Publication date: 26 July 2016

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-016-0990-2




Related Items (46)

The dynamics of flat surface internal geophysical waves with currentsOn the intermediate long wave propagation for internal waves in the presence of currentsHamiltonian structure for rotational capillary waves in stratified flowsVariational formulations of steady rotational equatorial wavesExplicit Dirichlet–Neumann operator for water wavesInstability of nonlinear wave-current interactions in a modified equatorial \(\beta\)-plane approximationPreface to the special issue on analysis of geophysical phenomenaOn the nonlinear three-dimensional models in equatorial ocean flowsHamiltonian description of internal ocean waves with Coriolis forceWeakly nonlinear waves in stratified shear flowsEnergy considerations for nonlinear equatorial water wavesHamiltonian model for coupled surface and internal waves in the presence of currentsHamiltonian models for the propagation of irrotational surface gravity waves over a variable bottomOn periodic geophysical water flows with discontinuous vorticity in the equatorial f -plane approximationCapturing the flow beneath water wavesEvolution of statistically inhomogeneous degenerate water wave quartetsVariational derivation of a geophysical Camassa-Holm type shallow water equationHamiltonian approach to modelling interfacial internal waves over variable bottomDispersion relations for fixed mean-depth flows with two discontinuities in vorticityExact steady azimuthal edge waves in rotating fluidsHamiltonian model for coupled surface and internal waves over currents and uneven bottomThe Lagrangian formulation for wave motion with a shear current and surface tensionExact solutions and internal waves for the Antarctic Circumpolar Current in spherical coordinatesResonant interactions of capillary-gravity water wavesRigidity of three-dimensional internal waves with constant vorticityNonlinear two-dimensional water waves with arbitrary vorticityExact internal waves in the presence of mean currents and rotationModelling the effect of submarine volcanic eruption on equatorial oceanic flowsStratified periodic water waves with singular density gradientsFlow dynamics for coupled surface and internal deep-water wavesConstant vorticity water flows in the equatorial \(\beta\)-plane approximation with centripetal forcesOn some azimuthal equatorial flowsResonances for water waves over flows with piecewise constant vorticityA cylindrical coordinates approach to constant vorticity geophysical waves with centripetal forces at arbitrary latitudeOn propagation of linear waves for model of equatorial wave-current interactionsExact, free-surface equatorial flows with general stratification in spherical coordinatesA Hamiltonian approach for nonlinear rotational capillary-gravity water waves in stratified flowsVariational formulation of rotational steady water waves in two-layer flowsPeriodic equatorial water flows from a Hamiltonian perspectiveSmall-amplitude solitary and generalized solitary traveling waves in a gravity two-layer fluid with vorticityExplicit and exact solutions concerning the Antarctic Circumpolar Current with variable density in spherical coordinatesEquatorial wave-current interactionsFlow underlying coupled surface and internal wavesFree surface equatorial flows in spherical coordinates with discontinuous stratification depending on depth and latitudeOn equatorial wave-current interactionsOn the existence of solutions and the pressure function related to the antarctic circumpolar current




Cites Work




This page was built for publication: Hamiltonian formulation for wave-current interactions in stratified rotational flows