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The semi-analytic theory of standing waves

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Publication:3765419
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DOI10.1098/rspa.1987.0057zbMath0628.76016OpenAlexW2024278530MaRDI QIDQ3765419

John F. Toland, Charles J. Amick

Publication date: 1987

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1987.0057


zbMATH Keywords

convergenceformal power series solutionsstanding-wave problem


Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Navier-Stokes equations (35Q30)


Related Items (10)

Small divisor problems in fluid mechanics ⋮ Computation of three-dimensional standing water waves ⋮ Standing waves in deep water: Their stability and extreme form ⋮ On frequency-amplitude dependences for surface and internal standing waves ⋮ An analysis of two-dimensional water waves based on O(2) symmetry ⋮ Rigorous asymptotic models of water waves ⋮ Standing waves on infinite depth. ⋮ Harmonic stability of standing water waves ⋮ Standing waves on an infinitely deep perfect fluid under gravity ⋮ Some nonlinear evolution equations in water waves




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