On well-posedness for some dispersive perturbations of Burgers' equation

From MaRDI portal
Publication:1618250

DOI10.1016/j.anihpc.2017.12.004zbMath1459.76024arXiv1702.03191OpenAlexW2591584134MaRDI QIDQ1618250

Stéphane Vento, Luc Molinet, Didier Pilod

Publication date: 13 November 2018

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03191




Related Items (27)

Local well-posedness for a fractional KdV-type equationUnconditional well-posedness for some nonlinear periodic one-dimensional dispersive equationsEnhanced existence time of solutions to evolution equations of Whitham typeThe Wave Breaking for Whitham-Type Equations RevisitedA reduced order modeling method based on GNAT-embedded hybrid snapshot simulationLocal well-posedness for the gKdV equation on the background of a bounded functionOne-sided Hölder regularity of global weak solutions of negative order dispersive equationsAsymptotic \(N\)-soliton-like solutions of the fractional Korteweg-de Vries equationHigher dimensional generalization of the Benjamin‐Ono equation: 2D caseOn the Cauchy problem for dispersive Burgers type equationsUnconditional uniqueness for the Benjamin-Ono equationOn unique continuation for non-local dispersive modelsZero-filter limit for the Camassa-Holm equation in Sobolev spacesBenjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDERegularity results on the flow maps of periodic dispersive Burgers type equations and the gravity-capillary equationsOn the propagation of regularity for solutions of the fractional Korteweg-de Vries equationOn the unique continuation of solutions to non-local non-linear dispersive equationsLocal and global well-posedness for dispersion generalized Benjamin-Ono equations on the circleLong time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearityAsymptotic behavior of solutions of the dispersion generalized Benjamin-Ono equationConvergence of Petviashvili's Method near Periodic Waves in the Fractional Korteweg--de Vries EquationEnhanced Existence Time of Solutions to the Fractional Korteweg--de Vries EquationOn persistence properties in weighted spaces for solutions of the fractional Korteweg–de Vries equationStability of periodic waves for the fractional KdV and NLS equationsGlobal dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equationsA nonlocal model describing tumor angiogenesisOn the modified fractional Korteweg–de Vries and related equations



Cites Work


This page was built for publication: On well-posedness for some dispersive perturbations of Burgers' equation