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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
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.
ISSN: 0872-3672
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Nacionais Com Arbitragem Científica

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