Well-posedness of linearized motion for 3-D water waves far from equilibrium

DOI10.1080/03605309608821238zbMath0874.76014OpenAlexW2056917472MaRDI QIDQ4715664

Zhen-Huan Teng, Pingwen Zhang, Thomas Yizhao Hou

Publication date: 18 November 1996

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309608821238

zbMATH Keywords

stabilitySobolev spacesFourier expansionHilbert transformintegral operatorboundary integral formulationvelocity potentialbranch point singularitylinearized evolution equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Internal waves for incompressible inviscid fluids (76B55)

Related Items

The water wave equation, A Nearly Optimal Existence Result for Slightly Perturbed 3-D Vortex Sheets, A new stabilizing technique for boundary integral methods for water waves, A convergent boundary integral method for three-dimensional water waves, Singularity formation in three-dimensional vortex sheets, Well-posedness of the water-waves equations, Well-posedness of the water-wave problem with surface tension, Well-posedness in Sobolev spaces of the full water wave problem in 3-D, Convergence of a boundary integral method for 3D interfacial Darcy flow with surface tension

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