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Author | dc.contributor.author | Dalphin, Jeremy | |
Author | dc.contributor.author | Barros, Ricardo | |
Admission date | dc.date.accessioned | 2019-10-11T17:31:14Z | |
Available date | dc.date.available | 2019-10-11T17:31:14Z | |
Publication date | dc.date.issued | 2019 | |
Cita de ítem | dc.identifier.citation | Journal of Optimization Theory and Applications, Volumen 180, Issue 2, 2019, Pages 574-607 | |
Identifier | dc.identifier.issn | 15732878 | |
Identifier | dc.identifier.issn | 00223239 | |
Identifier | dc.identifier.other | 10.1007/s10957-018-1400-8 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/171333 | |
Abstract | dc.description.abstract | © 2018, Springer Science+Business Media, LLC, part of Springer Nature.It is well known since Wu and Wu (in: Proceedings of the 14th symposium on naval hydrodynamics, National Academy Press, Washington, pp 103–125, 1982) that a forcing disturbance moving steadily with a transcritical velocity in shallow water can generate, continuously and periodically, a succession of solitary waves propagating ahead of the disturbance in procession. One possible new application of this phenomenon could very well be surfing competitions, where in a controlled environment, such as a pool, waves can be generated with the use of a translating bottom. In this paper, we use the forced Korteweg–de Vries equation to investigate the shape of the moving body capable of generating the highest first upstream-progressing solitary wave. To do so, we study the following optimization problem: maximizing the total energy of the system over the set of non-negative square-integrable bottoms, with uniformly bounded norms | |
Lenguage | dc.language.iso | en | |
Publisher | dc.publisher | Springer New York LLC | |
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 of Optimization Theory and Applications | |
Keywords | dc.subject | Existence theory | |
Keywords | dc.subject | Finite-difference methods | |
Keywords | dc.subject | Forced Korteweg–de Vries equation | |
Keywords | dc.subject | Numerical simulation | |
Keywords | dc.subject | Optimal control | |
Keywords | dc.subject | Shape optimization | |
Keywords | dc.subject | Surface wave generation | |
Título | dc.title | Optimal Shape of an Underwater Moving Bottom Generating Surface Waves Ruled by a Forced Korteweg-de Vries Equation | |
Document type | dc.type | Artículo de revista | |
dcterms.accessRights | dcterms.accessRights | Acceso Abierto | |
Cataloguer | uchile.catalogador | SCOPUS | |
Indexation | uchile.index | Artículo de publicación SCOPUS | |
uchile.cosecha | uchile.cosecha | SI | |
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