Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble

Autores
Amore, Paulo; Fernández, Francisco Marcelo
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We analyze the Rayleigh equation for the collapse of an empty bubble and provide an explanation for some recent analytical approximations to the model. We derive the form of the singularity at the second boundary point and discuss the convergence of the approximants. We also give a rigorous proof of the asymptotic behavior of the coefficients of the power series that are the basis for the approximate expressions
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Materia
Física
Rayleigh equation
Collapse of a bubble
Analytical expression
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/100799
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/100799
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical BubbleAmore, PauloFernández, Francisco MarceloFísicaRayleigh equationCollapse of a bubbleAnalytical expressionWe analyze the Rayleigh equation for the collapse of an empty bubble and provide an explanation for some recent analytical approximations to the model. We derive the form of the singularity at the second boundary point and discuss the convergence of the approximants. We also give a rigorous proof of the asymptotic behavior of the coefficients of the power series that are the basis for the approximate expressionsInstituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas2013-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf84511-84511http://sedici.unlp.edu.ar/handle/10915/100799enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/5318info:eu-repo/semantics/altIdentifier/url/http://scitation.aip.org/content/aip/journal/jcp/138/8/10.1063/1.4793217info:eu-repo/semantics/altIdentifier/issn/0021-9606info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4793217info:eu-repo/semantics/altIdentifier/hdl/11336/5318info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:20:06Zoai:sedici.unlp.edu.ar:10915/100799Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:20:07.108SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble
title Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble
spellingShingle Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble
Amore, Paulo
Física
Rayleigh equation
Collapse of a bubble
Analytical expression
title_short Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble
title_full Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble
title_fullStr Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble
title_full_unstemmed Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble
title_sort Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble
dc.creator.none.fl_str_mv Amore, Paulo
Fernández, Francisco Marcelo
author Amore, Paulo
author_facet Amore, Paulo
Fernández, Francisco Marcelo
author_role author
author2 Fernández, Francisco Marcelo
author2_role author
dc.subject.none.fl_str_mv Física
Rayleigh equation
Collapse of a bubble
Analytical expression
topic Física
Rayleigh equation
Collapse of a bubble
Analytical expression
dc.description.none.fl_txt_mv We analyze the Rayleigh equation for the collapse of an empty bubble and provide an explanation for some recent analytical approximations to the model. We derive the form of the singularity at the second boundary point and discuss the convergence of the approximants. We also give a rigorous proof of the asymptotic behavior of the coefficients of the power series that are the basis for the approximate expressions
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
description We analyze the Rayleigh equation for the collapse of an empty bubble and provide an explanation for some recent analytical approximations to the model. We derive the form of the singularity at the second boundary point and discuss the convergence of the approximants. We also give a rigorous proof of the asymptotic behavior of the coefficients of the power series that are the basis for the approximate expressions
publishDate 2013
dc.date.none.fl_str_mv 2013-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/100799
url http://sedici.unlp.edu.ar/handle/10915/100799
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/5318
info:eu-repo/semantics/altIdentifier/url/http://scitation.aip.org/content/aip/journal/jcp/138/8/10.1063/1.4793217
info:eu-repo/semantics/altIdentifier/issn/0021-9606
info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4793217
info:eu-repo/semantics/altIdentifier/hdl/11336/5318
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
84511-84511
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.070432

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