Existence and regularity of 1D-solitons for a hyperelastic dispersive model

We show the existence, regularity and analyticity of one-dimensional solitons for a dispersive type equation that models the deformations of a hyperelastic compressible plate. We follow a variational approach by characterizing solitons as critical points of a suitable functional. Our method involves...

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Autores:
Montes, Alex M.
Córdoba, Ricardo
Tipo de recurso:
Article of journal
Fecha de publicación:
2015
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/61888
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/61888
http://bdigital.unal.edu.co/60700/
Palabra clave:
51 Matemáticas / Mathematics
Hypereslactic equation
solitons
variational approach
mountain pass Theorem.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/61888
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Montes, Alex M.d932a572-f698-4e9e-80ba-1f0e205cd3d7300Córdoba, Ricardo04d3bfe1-4722-44e6-a421-98f3944fbbc53002019-07-02T20:46:58Z2019-07-02T20:46:58Z2015-07-01ISSN: 2357-6529https://repositorio.unal.edu.co/handle/unal/61888http://bdigital.unal.edu.co/60700/We show the existence, regularity and analyticity of one-dimensional solitons for a dispersive type equation that models the deformations of a hyperelastic compressible plate. We follow a variational approach by characterizing solitons as critical points of a suitable functional. Our method involves the Mountain Pass Theorem.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticashttps://revistas.unal.edu.co/index.php/bolma/article/view/54971Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasMontes, Alex M. and Córdoba, Ricardo (2015) Existence and regularity of 1D-solitons for a hyperelastic dispersive model. Boletín de Matemáticas, 22 (2). pp. 117-134. ISSN 2357-652951 Matemáticas / MathematicsHypereslactic equationsolitonsvariational approachmountain pass Theorem.Existence and regularity of 1D-solitons for a hyperelastic dispersive modelArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL54971-278522-1-SM.pdfapplication/pdf345656https://repositorio.unal.edu.co/bitstream/unal/61888/1/54971-278522-1-SM.pdf372d537e0029b88f1f827778b70f58aaMD51THUMBNAIL54971-278522-1-SM.pdf.jpg54971-278522-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5423https://repositorio.unal.edu.co/bitstream/unal/61888/2/54971-278522-1-SM.pdf.jpg89800747e45a513ebb1f29de09c25547MD52unal/61888oai:repositorio.unal.edu.co:unal/618882023-04-14 23:04:53.356Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Existence and regularity of 1D-solitons for a hyperelastic dispersive model
title Existence and regularity of 1D-solitons for a hyperelastic dispersive model
spellingShingle Existence and regularity of 1D-solitons for a hyperelastic dispersive model
51 Matemáticas / Mathematics
Hypereslactic equation
solitons
variational approach
mountain pass Theorem.
title_short Existence and regularity of 1D-solitons for a hyperelastic dispersive model
title_full Existence and regularity of 1D-solitons for a hyperelastic dispersive model
title_fullStr Existence and regularity of 1D-solitons for a hyperelastic dispersive model
title_full_unstemmed Existence and regularity of 1D-solitons for a hyperelastic dispersive model
title_sort Existence and regularity of 1D-solitons for a hyperelastic dispersive model
dc.creator.fl_str_mv Montes, Alex M.
Córdoba, Ricardo
dc.contributor.author.spa.fl_str_mv Montes, Alex M.
Córdoba, Ricardo
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Hypereslactic equation
solitons
variational approach
mountain pass Theorem.
dc.subject.proposal.spa.fl_str_mv Hypereslactic equation
solitons
variational approach
mountain pass Theorem.
description We show the existence, regularity and analyticity of one-dimensional solitons for a dispersive type equation that models the deformations of a hyperelastic compressible plate. We follow a variational approach by characterizing solitons as critical points of a suitable functional. Our method involves the Mountain Pass Theorem.
publishDate 2015
dc.date.issued.spa.fl_str_mv 2015-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-02T20:46:58Z
dc.date.available.spa.fl_str_mv 2019-07-02T20:46:58Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.issn.spa.fl_str_mv ISSN: 2357-6529
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/61888
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identifier_str_mv ISSN: 2357-6529
url https://repositorio.unal.edu.co/handle/unal/61888
http://bdigital.unal.edu.co/60700/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/bolma/article/view/54971
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.references.spa.fl_str_mv Montes, Alex M. and Córdoba, Ricardo (2015) Existence and regularity of 1D-solitons for a hyperelastic dispersive model. Boletín de Matemáticas, 22 (2). pp. 117-134. ISSN 2357-6529
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/61888/1/54971-278522-1-SM.pdf
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