Rigorous numerics for PDEs with indefinite tail : existence of a periodic solution of the boussinesq equation with time-dependent forcing
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Rigorous numerics for PDEs with indefinite tail : existence of a periodic solution of the boussinesq equation with time-dependent forcing
Boussinesq equation
periodic solutions
ill-posed PDEs
isolating segments
We consider the Boussinesq PDE perturbed by a time-dependent forcing. Even though there is no smoothing effect for arbitrary smooth initial data, we are able to apply the method of self-consistent bounds to deduce the existence of smooth classical periodic solutions in the vicinity of 0. The proof is non-perturbative and relies on construction of periodic isolating segments in the Galerkin projections.
cris.lastimport.wos | 2024-04-09T20:58:46Z | |
dc.abstract.en | We consider the Boussinesq PDE perturbed by a time-dependent forcing. Even though there is no smoothing effect for arbitrary smooth initial data, we are able to apply the method of self-consistent bounds to deduce the existence of smooth classical periodic solutions in the vicinity of 0. The proof is non-perturbative and relies on construction of periodic isolating segments in the Galerkin projections. | pl |
dc.affiliation | Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej | pl |
dc.contributor.author | Czechowski, Aleksander - 116480 | pl |
dc.contributor.author | Zgliczyński, Piotr - 132902 | pl |
dc.date.accessioned | 2016-06-16T12:16:22Z | |
dc.date.available | 2016-06-16T12:16:22Z | |
dc.date.issued | 2015 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.physical | 143-158 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 24 | pl |
dc.identifier.doi | 10.4467/20838476SI.15.014.3486 | pl |
dc.identifier.eissn | 2083-8476 | pl |
dc.identifier.issn | 1732-3916 | pl |
dc.identifier.project | ROD UJ / P | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/28037 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Dozwolony użytek utworów chronionych | * |
dc.rights.licence | OTHER | |
dc.rights.uri | http://ruj.uj.edu.pl/4dspace/License/copyright/licencja_copyright.pdf | * |
dc.share.type | otwarte czasopismo | |
dc.subject.en | Boussinesq equation | pl |
dc.subject.en | periodic solutions | pl |
dc.subject.en | ill-posed PDEs | pl |
dc.subject.en | isolating segments | pl |
dc.subtype | Article | pl |
dc.title | Rigorous numerics for PDEs with indefinite tail : existence of a periodic solution of the boussinesq equation with time-dependent forcing | pl |
dc.title.journal | Schedae Informaticae | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
Open Access