On the theory of long water-waves on a rotating earth

DOI10.1007/BF01171425zbMath0860.76012MaRDI QIDQ1817204

George M. Kapoulitsas

Publication date: 5 May 1997

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

differential equationslinearized equationswell-posed boundary value problemsmotion of tides

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05)

Cites Work

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• Diffraction of long waves by a step
• Propagation of long waves into a set of parallel vertical barriers on a rotating earth
• Scattering of long waves in a rotating bifurcated channel
• Long waves on a rotating earth in the presence of a semi-infinite barrier
• The propagation of long waves into a semi-infinite channel in a rotating system
• Coastal Kelvin waves in the presence of a slowly varying topography
• A WIENER-HOPF APPROACH TO KELVIN WAVE GENERATION BY A SEMI-INFINITE BARRIER AND A DEPTH DISCONTINUITY
• Diffraction of Kelvin waves from a rotating channel with an infinite and a semi-infinite barrier
• The diffraction of Kelvin waves at a corner
• Diffraction of Kelvin waves at a sharp bend
• Reflexion of Kelvin waves at the open end of a rotating semi-infinite channel
• The diffraction of tides by a narrow channel
• The solitary wave and periodic waves in shallow water
• On the motion of floating bodies. I
• The formation of breakers and bores the theory of nonlinear wave propagation in shallow water and open channels
• A uniqueness theorem and a new solution for Sommerfeld's and other diffraction problems
• The existence of solitary waves