Existence of Large Amplitude Periodic Waves in Two-Fluid Flows of Infinite Depth

DOI10.1137/S0036141099352728zbMath0980.35133OpenAlexW2030408143MaRDI QIDQ2706222

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Publication date: 19 March 2001

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141099352728

zbMATH Keywords

bifurcationnonlinear integral equationtwo-fluid flowlarge amplitude wave

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

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Velocity and energy of periodic travelling interfacial waves between two bounded fluids ⋮ Large-amplitude internal fronts in two-fluid systems ⋮ A note on the existence of pure gravity waves at the interface of two fluids ⋮ Generalized pitchfork bifurcation on a two-dimensional gaseous star with self-gravity and surface tension ⋮ Existence, nonexistence, and asymptotics of deep water solitary waves with localized vorticity

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