Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/7598

Title: A note on nonlinear KdV-type equations
Authors: Bedjaoui, Nabil
Correia, Joaquim M.C.
Editors: Azenhas, Olga
Santos, Lisa
Reis, Paula
Florentino, Carlos
Sá, Carlos
Augusto Ferreira, José
Custódio, Ana Luísa
Antunes, Nelson
Duarte, Pedro Miguel
Keywords: KdV-type equation
inviscid Burgers equation
shock wave
entropy weak solution
measure-valued solution
dispersion
dissipation
Issue Date: 2013
Publisher: Sociedade Portuguesa de Matemática
Citation: Boletim da Sociedade Portuguesa de Matemática
Abstract: We consider the approximation of the inviscid Burgers equation by nonlinear Korteweg-de Vries (KdV) type equations. It has been conjectured by Brenier and Levy [1] that in some special kind of nonlinear dispersion the behaviour is dissipative, when generally we expect a dispersive behaviour as in the linear case. We provide here a priori estimates enough to establish the first step in a proof of the conjecture above.
URI: http://hdl.handle.net/10174/7598
ISSN: 0872-3672
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Nacionais Com Arbitragem Científica

Files in This Item:

File Description SizeFormat
NonlinKdV.pdf283.27 kBAdobe PDFView/OpenRestrict Access. You can Request a copy!
FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpaceOrkut
Formato BibTex mendeley Endnote Logotipo do DeGóis 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Dspace Dspace
DSpace Software, version 1.6.2 Copyright © 2002-2008 MIT and Hewlett-Packard - Feedback
UEvora B-On Curriculum DeGois