Short-wavelength instabilities of edge waves in stratified water

DOI10.3934/dcds.2015.35.2053zbMath1302.76070OpenAlexW2329214452MaRDI QIDQ484421

Delia Ionescu-Kruse

Publication date: 7 January 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.2053

zbMATH Keywords

stratificationexplicit solutionslocalized instability analysisshort-wavelength methodedge waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Hydrodynamic stability (76E99) Stratification effects in inviscid fluids (76B70) Pattern formations in context of PDEs (35B36)

Related Items (11)

Instability of equatorially trapped waves in stratified water ⋮ Instability of nonlinear wave-current interactions in a modified equatorial \(\beta\)-plane approximation ⋮ Instability of equatorial edge waves in the background flow ⋮ Exact solution and instability for geophysical edge waves ⋮ On some azimuthally propagating flows with stratification ⋮ Three-dimensional small-scale instabilities of plane internal gravity waves ⋮ Local stability for an exact steady purely azimuthal equatorial flow ⋮ Local stability for an exact steady purely azimuthal flow which models the antarctic circumpolar current ⋮ On the trigonometric polynomial Ansatz for gravity water waves ⋮ Exact solution and instability for geophysical waves in modified equatorial \(\beta\)-plane approximation with and without centripetal forces ⋮ Constant vorticity atmospheric Ekman flows in the \( f\)-plane approximation

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