Dispersive estimates for linearized water wave-type equations in \(\mathbb{R}^d\)

DOI10.1007/s00023-023-01322-0zbMath1527.35274arXiv2106.02717OpenAlexW3170756052MaRDI QIDQ6054118

Tilahun Deneke, Tamirat T. Dufera, Achenef Tesfahun

Publication date: 24 October 2023

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.02717

zbMATH Keywords

water wave-type equationsWhitham-Boussinesq-type system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Dispersive estimates for nonhomogeneous radial phases: an application to weakly dispersive equations and water wave models ⋮ Long-time existence for a Whitham–Boussinesq system in two dimensions

Cites Work

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• Bidirectional Whitham equations as models of waves on shallow water
• On Whitham and Related Equations
• Well-Posedness for a Dispersive System of the Whitham--Boussinesq Type
• Classical Fourier Analysis
• Comparison between Boussinesq‐ and Whitham–Boussinesq‐type systems
• Long-time existence for a Whitham–Boussinesq system in two dimensions

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