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Integral equations for the problem of stationary waves produced by a floating body

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Publication:684514
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DOI10.1007/BF01137734zbMath0781.76008OpenAlexW2070077943MaRDI QIDQ684514

Nikolay Kuznetsov

Publication date: 26 September 1993

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01137734


zbMATH Keywords

Laplace equationfloating bodiesheavy fluidirregular frequencesoscillatory free surfacesuperficial, stationary, three-dimensional waves


Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free boundary problems for PDEs (35R35) Fredholm integral equations (45B05)


Related Items

The floating-body problem: an integro-differential equation without irregular frequencies



Cites Work

  • Randwertproblem der mathematischen Akustik
  • Uniqueness in linearized two-dimensional water-wave problems
  • A SCATTERING TRINITY: THE REPRODUCING KERNEL, NULL-FIELD EQUATIONS AND MODIFIED GREEN'S FUNCTIONS
  • An integral equation for the floating-body problem
  • An Existence Proof for a Boundary-Value Problem with Non-Smooth Boundary from the Theory of Water Waves
  • Irregular frequencies and the motion of floating bodies
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