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
Fil: Amore, Paulo. Universidad de Colima; México
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; Argentina
Materia
RAYLEIGH EQUATION
COLLAPSE OF A BUBBLE
ANALYTICAL EXPRESSION
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/5318
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/5318
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical BubbleAmore, PauloFernández, Francisco MarceloRAYLEIGH EQUATIONCOLLAPSE OF A BUBBLEANALYTICAL EXPRESSIONhttps://purl.org/becyt/ford/1.4https://purl.org/becyt/ford/1We 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 expressionsFil: Amore, Paulo. Universidad de Colima; MéxicoFil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; ArgentinaAmerican Institute Of Physics2013-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/5318Amore, Paulo; Fernández, Francisco Marcelo; Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble; American Institute Of Physics; Journal Of Chemical Physics; 138; 8; 2-2013; 84511-845110021-9606enginfo:eu-repo/semantics/altIdentifier/pmid/23464164info:eu-repo/semantics/altIdentifier/url/http://scitation.aip.org/content/aip/journal/jcp/138/8/10.1063/1.4793217info:eu-repo/semantics/altIdentifier/doi/10.1063/1.4793217info:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:25:18Zoai:ri.conicet.gov.ar:11336/5318instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:25:19.107CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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
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 RAYLEIGH EQUATION
COLLAPSE OF A BUBBLE
ANALYTICAL EXPRESSION
topic RAYLEIGH EQUATION
COLLAPSE OF A BUBBLE
ANALYTICAL EXPRESSION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
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
Fil: Amore, Paulo. Universidad de Colima; México
Fil: Fernández, Francisco Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico la Plata. Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas; Argentina. Universidad Nacional de La Plata; Argentina
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
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://hdl.handle.net/11336/5318
Amore, Paulo; Fernández, Francisco Marcelo; Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble; American Institute Of Physics; Journal Of Chemical Physics; 138; 8; 2-2013; 84511-84511
0021-9606
url http://hdl.handle.net/11336/5318
identifier_str_mv Amore, Paulo; Fernández, Francisco Marcelo; Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble; American Institute Of Physics; Journal Of Chemical Physics; 138; 8; 2-2013; 84511-84511
0021-9606
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/pmid/23464164
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/doi/10.1063/1.4793217
info:eu-repo/semantics/altIdentifier/doi/
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Institute Of Physics
publisher.none.fl_str_mv American Institute Of Physics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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