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Author | dc.contributor.author | Kwak, Chulkwang | |
Author | dc.contributor.author | Muñoz, Claudio | |
Author | dc.contributor.author | Poblete, Felipe | |
Author | dc.contributor.author | Pozo, Juan C. | |
Admission date | dc.date.accessioned | 2019-10-11T17:30:06Z | |
Available date | dc.date.available | 2019-10-11T17:30:06Z | |
Publication date | dc.date.issued | 2019 | |
Cita de ítem | dc.identifier.citation | Journal des Mathematiques Pures et Appliquees, Volumen 127, | |
Identifier | dc.identifier.issn | 00217824 | |
Identifier | dc.identifier.other | 10.1016/j.matpur.2018.08.005 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/171252 | |
Abstract | dc.description.abstract | © 2018 Elsevier Masson SASThe Boussinesq abcd system is a 4-parameter set of equations posed in Rt×Rx, originally derived by Bona, Chen and Saut [11,12] as first order 2-wave approximations of the incompressible and irrotational, two dimensional water wave equations in the shallow water wave regime, in the spirit of the original Boussinesq derivation [17]. Among many particular regimes, depending each of them in terms of the value of the parameters (a,b,c,d) present in the equations, the generic regime is characterized by the setting b,d>0 and a,c<0. If additionally b=d, the abcd system is Hamiltonian. The equations in this regime are globally well-posed in the energy space H1×H1, provided one works with small solutions [12]. In this paper, we investigate decay and the scattering problem in this regime, which is characterized as having (quadratic) long-range nonlinearities, very weak linear decay O(t−1/3) because of the one dimensional setting, and existence of non scattering solutions | |
Lenguage | dc.language.iso | en | |
Publisher | dc.publisher | Elsevier Masson SAS | |
Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
Source | dc.source | Journal des Mathematiques Pures et Appliquees | |
Keywords | dc.subject | abcd | |
Keywords | dc.subject | Boussinesq system | |
Keywords | dc.subject | Decay | |
Keywords | dc.subject | Hamiltonian | |
Keywords | dc.subject | Scattering | |
Título | dc.title | The scattering problem for Hamiltonian ABCD Boussinesq systems in the energy space | |
Document type | dc.type | Artículo de revista | |
Cataloguer | uchile.catalogador | SCOPUS | |
Indexation | uchile.index | Artículo de publicación SCOPUS | |
uchile.cosecha | uchile.cosecha | SI | |
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