| dc.creator | Pava J.A. | |
| dc.date | 2003 | |
| dc.date | 2015-06-30T17:30:20Z | |
| dc.date | 2015-11-26T14:09:07Z | |
| dc.date | 2015-06-30T17:30:20Z | |
| dc.date | 2015-11-26T14:09:07Z | |
| dc.date.accessioned | 2018-03-28T21:09:40Z | |
| dc.date.available | 2018-03-28T21:09:40Z | |
| dc.identifier | | |
| dc.identifier | Electronic Journal Of Differential Equations. , v. 2003, n. , p. 1 - 18, 2003. | |
| dc.identifier | 10726691 | |
| dc.identifier | | |
| dc.identifier | http://www.scopus.com/inward/record.url?eid=2-s2.0-3042785826&partnerID=40&md5=cbc5c1d28772e1e6aa576080a930b025 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/102346 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/102346 | |
| dc.identifier | 2-s2.0-3042785826 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1241156 | |
| dc.description | This work presents new results about the instability of solitary-wave solutions to a generalized fifth-order Korteweg-deVries equation of the form ut + uxxxxx + buxxx = (G(u, ux, uxx))x, where G(q, r, s) = Fq(q, r) - rFqr(q, r) - sFrr (q, r) for some F(q, r) which is homogeneous of degree p + 1 for some p > 1. This model arises, for example, in the mathematical description of phenomena in water waves and magneto-sound propagation in plasma. The existence of a class of solitary-wave solutions is obtained by solving a constrained minimization problem in H2(ℝ) which is based in results obtained by Levandosky. The instability of this class of solitary-wave solutions is determined for b ≠ 0, and it is obtained by making use of the variational characterization of the solitary waves and a modification of the theories of instability established by Shatah & Strauss, Bona & Souganidis & Strauss and Gonçalves Ribeiro. Moreover, our approach shows that the trajectories used to exhibit instability will be uniformly bounded in H2(ℝ). | |
| dc.description | 2003 | |
| dc.description | | |
| dc.description | 1 | |
| dc.description | 18 | |
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| dc.language | en | |
| dc.publisher | | |
| dc.relation | Electronic Journal of Differential Equations | |
| dc.rights | aberto | |
| dc.source | Scopus | |
| dc.title | On The Instability Of Solitary-wave Solutions For Fifth-order Water Wave Models | |
| dc.type | Artículos de revistas | |
