Capillary problem and mean curvature flow of killing graphs.

Detalhes bibliográficos
Ano de defesa: 2013
Autor(a) principal: WANDERLEY, Gabriela Albuquerque. lattes
Orientador(a): LIRA, Jorge Herbert Soares de. lattes
Banca de defesa: BESSA, Gregório Pacelli., RIPOLL, Jaime., PICCIONE, Paolo., HINOJOSA, Pedro., TRIBUZY, Renato.
Tipo de documento: Tese
Tipo de acesso: Acesso aberto
Idioma: eng
Instituição de defesa: Universidade Federal de Campina Grande
Programa de Pós-Graduação: PÓS-GRADUAÇÃO EM MATEMÁTICA
Departamento: Centro de Ciências e Tecnologia - CCT
País: Brasil
Palavras-chave em Português:
Neumann problem
Capillary problem
Mean curvature flow
Killing vector field
Killing graphs
Área do conhecimento CNPq:
Matemática
Link de acesso: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/28194
Resumo: We study two typ es of Neumann problem related to Capillary problem and to the evolution of graphs under mean curvature flow in Riemannian manifolds endowed with a Killing vector field. In particular, we prove the existence of Killing graphs with prescrib ed mean curvature and prescrib ed b oundary conditions.
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spelling LIRA, Jorge Herbert Soares de.LIRA, J. H. S.http://lattes.cnpq.br/1873757687453531BESSA, Gregório Pacelli.RIPOLL, Jaime.PICCIONE, Paolo.HINOJOSA, Pedro.TRIBUZY, Renato.WANDERLEY, G. A.http://lattes.cnpq.br/8778546701148530WANDERLEY, Gabriela Albuquerque.Universidade Federal de Campina GrandePÓS-GRADUAÇÃO EM MATEMÁTICAUFCGBrasilCentro de Ciências e Tecnologia - CCTMatemáticaNeumann problemCapillary problemMean curvature flowKilling vector fieldKilling graphsCapillary problem and mean curvature flow of killing graphs.Problema capilar e fluxo de curvatura média de grafos de morte.2013-052022-12-05T19:15:16Z2022-12-052022-12-05T19:15:16ZWe study two typ es of Neumann problem related to Capillary problem and to the evolution of graphs under mean curvature flow in Riemannian manifolds endowed with a Killing vector field. In particular, we prove the existence of Killing graphs with prescrib ed mean curvature and prescrib ed b oundary conditions.Submitted by Ruth Quaresma de Freitas (ruth_quaresma@hotmail.com) on 2022-12-05T19:15:16Z No. of bitstreams: 1 GABRIELA ALBUQUERQUE WANDERLEY - TESE PAPGMAT CCT 2013.pdf: 784582 bytes, checksum: 4af1b28aef78a832ec0c0bc164c4e8ed (MD5)Made available in DSpace on 2022-12-05T19:15:16Z (GMT). No. of bitstreams: 1 GABRIELA ALBUQUERQUE WANDERLEY - TESE PAPGMAT CCT 2013.pdf: 784582 bytes, checksum: 4af1b28aef78a832ec0c0bc164c4e8ed (MD5) Previous issue date: 2013-05http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/28194WANDERLEY, Gabriela Albuquerque. Capillary problem and mean curvature flow of killing graphs. 2013. 80f. (Tese de Doutorado), Programa Associado de Pós-Graduação em Matemática UFPB-JP / UFCG, Centro de Ciências e Tecnologia, Universidade Federal de Campina Grande – Paraíba - Brasil, 2013. Disponível em: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/28194info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisenginfo:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UFCGinstname:Universidade Federal de Campina Grande (UFCG)instacron:UFCGLICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://dspace.sti.ufcg.edu.br:8080/xmlui/bitstream/riufcg/28194/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52ORIGINALGABRIELA ALBUQUERQUE WANDERLEY - TESE PAPGMAT CCT 2013.pdfGABRIELA ALBUQUERQUE WANDERLEY - TESE PAPGMAT CCT 2013.pdfapplication/pdf784582http://dspace.sti.ufcg.edu.br:8080/xmlui/bitstream/riufcg/28194/1/GABRIELA+ALBUQUERQUE+WANDERLEY+-+TESE+PAPGMAT+CCT+2013.pdf4af1b28aef78a832ec0c0bc164c4e8edMD51riufcg/281942022-12-05 16:15:53.997oai:localhost: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Biblioteca Digital de Teses e Dissertaçõeshttp://bdtd.ufcg.edu.br/PUBhttp://dspace.sti.ufcg.edu.br:8080/oai/requestbdtd@setor.ufcg.edu.br || bdtd@setor.ufcg.edu.bropendoar:48512022-12-05T19:15:53Biblioteca Digital de Teses e Dissertações da UFCG - Universidade Federal de Campina Grande (UFCG)false
dc.title.pt_BR.fl_str_mv Capillary problem and mean curvature flow of killing graphs.
dc.title.alternative.pt_BR.fl_str_mv Problema capilar e fluxo de curvatura média de grafos de morte.
title Capillary problem and mean curvature flow of killing graphs.
spellingShingle Capillary problem and mean curvature flow of killing graphs.
WANDERLEY, Gabriela Albuquerque.
Matemática
Neumann problem
Capillary problem
Mean curvature flow
Killing vector field
Killing graphs
title_short Capillary problem and mean curvature flow of killing graphs.
title_full Capillary problem and mean curvature flow of killing graphs.
title_fullStr Capillary problem and mean curvature flow of killing graphs.
title_full_unstemmed Capillary problem and mean curvature flow of killing graphs.
title_sort Capillary problem and mean curvature flow of killing graphs.
author WANDERLEY, Gabriela Albuquerque.
author_facet WANDERLEY, Gabriela Albuquerque.
author_role author
dc.contributor.advisor1.fl_str_mv LIRA, Jorge Herbert Soares de.
dc.contributor.advisor1ID.fl_str_mv LIRA, J. H. S.
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/1873757687453531
dc.contributor.referee1.fl_str_mv BESSA, Gregório Pacelli.
dc.contributor.referee2.fl_str_mv RIPOLL, Jaime.
dc.contributor.referee3.fl_str_mv PICCIONE, Paolo.
dc.contributor.referee4.fl_str_mv HINOJOSA, Pedro.
dc.contributor.referee5.fl_str_mv TRIBUZY, Renato.
dc.contributor.authorID.fl_str_mv WANDERLEY, G. A.
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/8778546701148530
dc.contributor.author.fl_str_mv WANDERLEY, Gabriela Albuquerque.
contributor_str_mv LIRA, Jorge Herbert Soares de.
BESSA, Gregório Pacelli.
RIPOLL, Jaime.
PICCIONE, Paolo.
HINOJOSA, Pedro.
TRIBUZY, Renato.
dc.subject.cnpq.fl_str_mv Matemática
topic Matemática
Neumann problem
Capillary problem
Mean curvature flow
Killing vector field
Killing graphs
dc.subject.por.fl_str_mv Neumann problem
Capillary problem
Mean curvature flow
Killing vector field
Killing graphs
description We study two typ es of Neumann problem related to Capillary problem and to the evolution of graphs under mean curvature flow in Riemannian manifolds endowed with a Killing vector field. In particular, we prove the existence of Killing graphs with prescrib ed mean curvature and prescrib ed b oundary conditions.
publishDate 2013
dc.date.issued.fl_str_mv 2013-05
dc.date.accessioned.fl_str_mv 2022-12-05T19:15:16Z
dc.date.available.fl_str_mv 2022-12-05
2022-12-05T19:15:16Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/28194
dc.identifier.citation.fl_str_mv WANDERLEY, Gabriela Albuquerque. Capillary problem and mean curvature flow of killing graphs. 2013. 80f. (Tese de Doutorado), Programa Associado de Pós-Graduação em Matemática UFPB-JP / UFCG, Centro de Ciências e Tecnologia, Universidade Federal de Campina Grande – Paraíba - Brasil, 2013. Disponível em: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/28194
url http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/28194
identifier_str_mv WANDERLEY, Gabriela Albuquerque. Capillary problem and mean curvature flow of killing graphs. 2013. 80f. (Tese de Doutorado), Programa Associado de Pós-Graduação em Matemática UFPB-JP / UFCG, Centro de Ciências e Tecnologia, Universidade Federal de Campina Grande – Paraíba - Brasil, 2013. Disponível em: http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/28194
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Universidade Federal de Campina Grande
dc.publisher.program.fl_str_mv PÓS-GRADUAÇÃO EM MATEMÁTICA
dc.publisher.initials.fl_str_mv UFCG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Centro de Ciências e Tecnologia - CCT
publisher.none.fl_str_mv Universidade Federal de Campina Grande
dc.source.none.fl_str_mv reponame:Biblioteca Digital de Teses e Dissertações da UFCG
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