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Rigorous numerics for PDEs with indefinite tail : existence of a periodic solution of the boussinesq equation with time-dependent forcing

2015
journal article
article
10.4467/20838476SI.15.014.3486
Journal
Schedae Informaticae
A
11
Author
Czechowski Aleksander

Zgliczyński Piotr
Volume
24
Pages
143-158
ISSN
1732-3916
eISSN
2083-8476
Keywords in English

Boussinesq equation

periodic solutions

ill-posed PDEs

isolating segments

Language
English
Journal language
English
Abstract in English

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.

Affiliation
Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej
Scopus© citations
3
cris.lastimport.wos2024-04-09T20:58:46Z
dc.abstract.enWe 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.affiliationWydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowejpl
dc.contributor.authorCzechowski, Aleksander - 116480 pl
dc.contributor.authorZgliczyński, Piotr - 132902 pl
dc.date.accessioned2016-06-16T12:16:22Z
dc.date.available2016-06-16T12:16:22Z
dc.date.issued2015pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.physical143-158pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume24pl
dc.identifier.doi10.4467/20838476SI.15.014.3486pl
dc.identifier.eissn2083-8476pl
dc.identifier.issn1732-3916pl
dc.identifier.projectROD UJ / Ppl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/28037
dc.languageengpl
dc.language.containerengpl
dc.rightsDozwolony użytek utworów chronionych*
dc.rights.licenceInna otwarta licencja
dc.rights.urihttp://ruj.uj.edu.pl/4dspace/License/copyright/licencja_copyright.pdf*
dc.share.typeotwarte czasopismo
dc.source.integratorfalse
dc.subject.enBoussinesq equationpl
dc.subject.enperiodic solutionspl
dc.subject.enill-posed PDEspl
dc.subject.enisolating segmentspl
dc.subtypeArticlepl
dc.titleRigorous numerics for PDEs with indefinite tail : existence of a periodic solution of the boussinesq equation with time-dependent forcingpl
dc.title.journalSchedae Informaticaepl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-09T20:58:46Z
dc.abstract.enpl
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.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej
dc.contributor.authorpl
Czechowski, Aleksander - 116480
dc.contributor.authorpl
Zgliczyński, Piotr - 132902
dc.date.accessioned
2016-06-16T12:16:22Z
dc.date.available
2016-06-16T12:16:22Z
dc.date.issuedpl
2015
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.physicalpl
143-158
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
24
dc.identifier.doipl
10.4467/20838476SI.15.014.3486
dc.identifier.eissnpl
2083-8476
dc.identifier.issnpl
1732-3916
dc.identifier.projectpl
ROD UJ / P
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/28037
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dozwolony użytek utworów chronionych
dc.rights.licence
Inna otwarta licencja
dc.rights.uri*
http://ruj.uj.edu.pl/4dspace/License/copyright/licencja_copyright.pdf
dc.share.type
otwarte czasopismo
dc.source.integrator
false
dc.subject.enpl
Boussinesq equation
dc.subject.enpl
periodic solutions
dc.subject.enpl
ill-posed PDEs
dc.subject.enpl
isolating segments
dc.subtypepl
Article
dc.titlepl
Rigorous numerics for PDEs with indefinite tail : existence of a periodic solution of the boussinesq equation with time-dependent forcing
dc.title.journalpl
Schedae Informaticae
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Czechowski, Aleksander
Zgliczyński, Piotr

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