Nonlinear dynamics of vorticity waves in the coastal zone

DOI10.1017/S0022112096008282zbMath0905.76017MaRDI QIDQ4354531

Victor I. Shrira, Vyacheslav V. Voronovich

Publication date: 8 November 1998

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

vortex dynamicsBenjamin-Ono equationlong-wave limitintegrodifferential operatorshort-wave limitvorticity gradientpotential vorticity conservationweakly nonlinear asymptotic theory

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (9)

Control and stability of the linearized dispersion-generalized Benjamin-Ono equation on a periodic domain ⋮ Control and stabilization for the dispersion generalized Benjamin equation on the circle ⋮ Decay of solitary waves of fractional Korteweg-de Vries type equations ⋮ Strongly interacting solitary waves for the fractional modified Korteweg-de Vries equation ⋮ On the unique continuation of solutions to non-local non-linear dispersive equations ⋮ A class on non-local linear operators for vorticity waves ⋮ Pontryagin's maximum principle for optimal boundary control of a generalised Korteweg–de Vries equation ⋮ On persistence properties in weighted spaces for solutions of the fractional Korteweg–de Vries equation ⋮ Two simple criterion to obtain exact controllability and stabilization of a linear family of dispersive PDE's on a periodic domain

Cites Work

• Interactions of solitons in nonintegrable systems: direct perturbation method and applications
• Interaction of a solitary wave with an external force
• Internal waves of permanent form in fluids of great depth

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