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
|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
|
/
CIMA - Centro de Investigação em Matemática e Aplicações /
CIMA - Publicações - Artigos em Revistas Nacionais Com Arbitragem Científica /
