An optimal decay estimate for the linearized water wave equation in 2D

DOI10.1090/PROC/12894zbMath1354.35090arXiv1411.0963OpenAlexW2230770998MaRDI QIDQ2821735

Aynur Bulut

Publication date: 23 September 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0963

zbMATH Keywords

Littlewood-Paley decompositiondispersive equationwater wave

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

A dispersive estimate for the linearized water-waves equations in finite depth ⋮ Rigorous derivation of the Whitham equations from the water waves equations in the shallow water regime ⋮ Time-decay estimates for the linearized water wave type equations

Cites Work

• Nonlinear fractional Schrödinger equations in one dimension
• Two dimensional water waves in holomorphic coordinates
• Global wellposedness of the 3-D full water wave problem
• On the water-wave equations with surface tension
• Almost global wellposedness of the 2-D full water wave problem
• Global solutions for the gravity water waves system in 2d
• Strichartz Estimates for the Water-Wave Problem with Surface Tension
• Two dimensional water waves in holomorphic coordinates II: global solutions
• Global solutions for the gravity water waves equation in dimension 3

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