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Solvability of equations describing waves of minimum smoothness

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Publication:610586
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DOI10.1134/S1064562410030270zbMath1381.76047MaRDI QIDQ610586

R. V. Shamin

Publication date: 8 December 2010

Published in: Doklady Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free-surface potential flows for incompressible inviscid fluids (76B07) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)





Cites Work

  • New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface
  • On the existence of smooth solutions to the Dyachenko equations governing free-surface unsteady ideal fluid flows
  • Nonstationary vortex surface waves
  • Well-posedness in Sobolev spaces of the full water wave problem in 2D
  • Freak waves as nonlinear stage of Stokes wave modulation instability
  • Well-posedness of the water-waves equations




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