On the existence of smooth solutions to the Dyachenko equations governing free-surface unsteady ideal fluid flows

DOI10.1134/S1064562406010303zbMath1155.76309OpenAlexW2104170096MaRDI QIDQ1005464

R. V. Shamin

Publication date: 9 March 2009

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

Full work available at URL: https://doi.org/10.1134/s1064562406010303

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Free-surface potential flows for incompressible inviscid fluids (76B07) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (6)

Solvability of equations describing waves of minimum smoothness ⋮ Freak waves as nonlinear stage of Stokes wave modulation instability ⋮ Surface waves on the water of minimal smoothness ⋮ Description of water wave dynamics based on differential inclusions ⋮ On the estimate of lifetime for solutions of the Cauchy-Kovalevskaya system with examples in the hydrodynamics of an ideal fluid with a free surface ⋮ Dynamics of an ideal liquid with a free surface in conformal variables

Cites Work

• Unnamed Item
• Unnamed Item
• New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface
• Nonstationary vortex surface waves

This page was built for publication: On the existence of smooth solutions to the Dyachenko equations governing free-surface unsteady ideal fluid flows