Long time bounds for the periodic Benjamin-Ono-BBM equation

DOI10.1016/j.na.2009.03.078zbMath1178.35101OpenAlexW2039964090MaRDI QIDQ838117

Youcef Mammeri

Publication date: 21 August 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.078

zbMATH Keywords

local and global well-posedness

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) A priori estimates in context of PDEs (35B45) Internal waves for incompressible inviscid fluids (76B55) Continuation and prolongation of solutions to PDEs (35B60) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Soliton solutions (35C08)

Related Items (6)

Transport of Gaussian measures with exponential cut-off for Hamiltonian PDEs ⋮ Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation ⋮ The regularized Benjamin-Ono and BBM equations: well-posedness and nonlinear stability ⋮ Remark on the well-posedness of weakly dispersive equations ⋮ Some new solitonary solutions of the modified Benjamin-Bona-Mahony equation ⋮ A numerical approach to blow-up issues for dispersive perturbations of Burgers' equation

Cites Work

• On the decay in time of solutions of some generalized regularized long waves equations
• On the Cauchy problem for the Kadomtsev-Petviashvili equation
• Algebraic Solitary Waves in Stratified Fluids
• Nonlinear Schrödinger evolution equations
• On equations of KP-type
• Internal waves of permanent form in fluids of great depth
• Solitary internal waves in deep water
• Model equations for long waves in nonlinear dispersive systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Long time bounds for the periodic Benjamin-Ono-BBM equation