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