Surface perturbations of a shallow viscous fluid heated from below and the (2+1)-dimensional Burgers equation

Detalhes bibliográficos
Autor(a) principal: Kraenkel, R. A. [UNESP]
Data de Publicação: 1992
Outros Autores: Pereira, J. G. [UNESP], Manna, M. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevA.45.838
http://hdl.handle.net/11449/225121
Resumo: The (2+1)-dimensional Burgers equation is obtained as the equation of motion governing the surface perturbations of a shallow viscous fluid heated from below, provided the Rayleigh number of the system satifies the condition R 30. A solution to this equation is explicitly exhibited and it is argued that it describes the nonlinear evolution of a nearly one-dimensional kink. © 1992 The American Physical Society.
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spelling Surface perturbations of a shallow viscous fluid heated from below and the (2+1)-dimensional Burgers equationThe (2+1)-dimensional Burgers equation is obtained as the equation of motion governing the surface perturbations of a shallow viscous fluid heated from below, provided the Rayleigh number of the system satifies the condition R 30. A solution to this equation is explicitly exhibited and it is argued that it describes the nonlinear evolution of a nearly one-dimensional kink. © 1992 The American Physical Society.Instituto de Física Terica, Universidade Estadual Paulista, Rua Pamplona 145, 01405 Sao Paulo, Sao PauloLaboratoire de Physique Mathématique, Université des Sciences et Tecniques du Languedoc, 34060 Montpellier CedexInstituto de Física Terica, Universidade Estadual Paulista, Rua Pamplona 145, 01405 Sao Paulo, Sao PauloUniversidade Estadual Paulista (UNESP)Laboratoire de Physique Mathématique, Université des Sciences et Tecniques du LanguedocKraenkel, R. A. [UNESP]Pereira, J. G. [UNESP]Manna, M. A.2022-04-28T20:40:07Z2022-04-28T20:40:07Z1992-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article838-841http://dx.doi.org/10.1103/PhysRevA.45.838Physical Review A, v. 45, n. 2, p. 838-841, 1992.1050-2947http://hdl.handle.net/11449/22512110.1103/PhysRevA.45.8382-s2.0-4243372907Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Ainfo:eu-repo/semantics/openAccess2022-04-28T20:40:07Zoai:repositorio.unesp.br:11449/225121Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:40:40.366207Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Surface perturbations of a shallow viscous fluid heated from below and the (2+1)-dimensional Burgers equation
title Surface perturbations of a shallow viscous fluid heated from below and the (2+1)-dimensional Burgers equation
spellingShingle Surface perturbations of a shallow viscous fluid heated from below and the (2+1)-dimensional Burgers equation
Kraenkel, R. A. [UNESP]
title_short Surface perturbations of a shallow viscous fluid heated from below and the (2+1)-dimensional Burgers equation
title_full Surface perturbations of a shallow viscous fluid heated from below and the (2+1)-dimensional Burgers equation
title_fullStr Surface perturbations of a shallow viscous fluid heated from below and the (2+1)-dimensional Burgers equation
title_full_unstemmed Surface perturbations of a shallow viscous fluid heated from below and the (2+1)-dimensional Burgers equation
title_sort Surface perturbations of a shallow viscous fluid heated from below and the (2+1)-dimensional Burgers equation
author Kraenkel, R. A. [UNESP]
author_facet Kraenkel, R. A. [UNESP]
Pereira, J. G. [UNESP]
Manna, M. A.
author_role author
author2 Pereira, J. G. [UNESP]
Manna, M. A.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (UNESP)
Laboratoire de Physique Mathématique, Université des Sciences et Tecniques du Languedoc
dc.contributor.author.fl_str_mv Kraenkel, R. A. [UNESP]
Pereira, J. G. [UNESP]
Manna, M. A.
description The (2+1)-dimensional Burgers equation is obtained as the equation of motion governing the surface perturbations of a shallow viscous fluid heated from below, provided the Rayleigh number of the system satifies the condition R 30. A solution to this equation is explicitly exhibited and it is argued that it describes the nonlinear evolution of a nearly one-dimensional kink. © 1992 The American Physical Society.
publishDate 1992
dc.date.none.fl_str_mv 1992-01-01
2022-04-28T20:40:07Z
2022-04-28T20:40:07Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1103/PhysRevA.45.838
Physical Review A, v. 45, n. 2, p. 838-841, 1992.
1050-2947
http://hdl.handle.net/11449/225121
10.1103/PhysRevA.45.838
2-s2.0-4243372907
url http://dx.doi.org/10.1103/PhysRevA.45.838
http://hdl.handle.net/11449/225121
identifier_str_mv Physical Review A, v. 45, n. 2, p. 838-841, 1992.
1050-2947
10.1103/PhysRevA.45.838
2-s2.0-4243372907
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review A
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 838-841
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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