On smoothing properties and Tao's gauge transform of the Benjamin-Ono equation on the torus
type: Item
instance of: scholarly article
title: On smoothing properties and Tao's gauge transform of the Benjamin-Ono equation on the torus
author: Patrick Gérard
author: T. Kappeler
author: Peter Topalov
published in: Annales Scientifiques de l'École Normale Supérieure. Quatrième Série
publication date: 2024-09-02T00:00:00Z
Mathematics Subject Classification ID: 37L50
Mathematics Subject Classification ID: 35R01
Mathematics Subject Classification ID: 35Q51
zbMATH DE Number: 7904677
zbMATH Keywords: Benjamin-Ono
zbMATH Keywords: smoothing property
zbMATH Keywords: Tao's gauge transform
MaRDI profile type: Publication
cites work: Nonlocal models for nonlinear, dispersive waves
cites work: Internal waves of permanent form in fluids of great depth
cites work: Solitary internal waves in deep water
cites work: Global smoothing for the periodic KdV evolution
cites work: Talbot effect for the cubic non-linear Schröedinger equation on the torus
cites work: Dispersive partial differential equations. Wellposedness and applications
cites work: Q4399897
cites work: An explicit formula for the Benjamin-Ono equation
cites work: On the Integrability of the <scp>Benjamin‐Ono</scp> Equation on the Torus
cites work: On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus
cites work: On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications
cites work: Sharp well-posedness results of the Benjamin-Ono equation in \(H^s(\mathbb{T},\mathbb{R})\) and qualitative properties of its solutions
cites work: The defocusing NLS equation and its normal form
cites work: Polynomial bound and nonlinear smoothing for the Benjamin-Ono equation on the circle
cites work: Q4405836
cites work: Qualitative Features of Periodic Solutions of KdV
cites work: Semi-linearity of the Non-linear Fourier Transform of the Defocusing NLS Equation
cites work: Scattering-like phenomena of the periodic defocusing NLS equation
cites work: Asymptotics of spectral quantities of Zakharov-Shabat operators
cites work: Vey theorem in infinite dimensions and its application to KdV
cites work: Q4531961
cites work: Global well-posedness in L2 for the periodic Benjamin-Ono equation
cites work: The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited
cites work: Q4796283
cites work: Sur quelques généralisations de l'équation de Korteweg-de Vries
cites work: Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE
cites work: GLOBAL WELL-POSEDNESS OF THE BENJAMIN–ONO EQUATION IN H1(R)
DOI: 10.24033/ASENS.2590
description: scientific article; zbMATH DE number 7904677