A dynamical systems approach towards isolated vorticity regions for tsunami background states

DOI10.1007/s00205-010-0347-1zbMath1294.35169OpenAlexW2052796769WikidataQ58869963 ScholiaQ58869963MaRDI QIDQ717463

Adrian Constantin

Publication date: 4 October 2011

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

Full work available at URL: https://doi.org/10.1007/s00205-010-0347-1

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Nonlinear ordinary differential equations and systems (34A34) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free boundary problems for PDEs (35R35) PDEs in connection with geophysics (35Q86)

Related Items (10)

Lagrangian description of gravity-capillary waves propagating on a sloping bottom ⋮ Aspects of the Mathematical Analysis of Nonlinear Stratified Water Waves ⋮ On the uniqueness of flow in a recent tsunami model ⋮ Dressing for generalised linear Hamiltonian systems depending rationally on the spectral parameter and some applications ⋮ On some background flows for tsunami waves ⋮ Smooth stationary water waves with exponentially localized vorticity ⋮ On the Nagumo uniqueness theorem ⋮ Dispersion equation for water waves with vorticity and Stokes waves on flows with counter-currents ⋮ A Nagumo-like uniqueness result for a second order ODE ⋮ Existence, nonexistence, and asymptotics of deep water solitary waves with localized vorticity

Cites Work

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