Asymptotic stability of a polar vortex perturbed by harmonic waves describing atmospheric gravity waves circulating in an equatorial plane of a spherical planet

DOI10.1051/MMNP/2018017zbMath1408.35195OpenAlexW2897160520WikidataQ129037739 ScholiaQ129037739MaRDI QIDQ4615695

Pirooz Mohazzabi, Justin van Ee, Rebecca Roembke, Ranis N. Ibragimov

Publication date: 29 January 2019

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2018017

zbMATH Keywords

stability analysisfree boundary problemshallow water equations

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Stability in context of PDEs (35B35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Meteorology and atmospheric physics (86A10) Free boundary problems for PDEs (35R35) PDEs in connection with geophysics (35Q86)

Cites Work

• Shallow Water Theory and Solution of the Problem on the Atmospheric Motion Around a Celestial Body
• The existence of solitary waves

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