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

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...

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Detalles Bibliográficos
Autores principales: Amore, Paulo, Fernández, Francisco Marcelo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Física
Rayleigh equation
Collapse of a bubble
Analytical expression
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/100799
https://ri.conicet.gov.ar/11336/5318
http://scitation.aip.org/content/aip/journal/jcp/138/8/10.1063/1.4793217
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-100799
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Rayleigh equation
Collapse of a bubble
Analytical expression
spellingShingle Física
Rayleigh equation
Collapse of a bubble
Analytical expression
Amore, Paulo
Fernández, Francisco Marcelo
Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble
topic_facet Física
Rayleigh equation
Collapse of a bubble
Analytical expression
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
format Articulo
Articulo
author Amore, Paulo
Fernández, Francisco Marcelo
author_facet Amore, Paulo
Fernández, Francisco Marcelo
author_sort Amore, Paulo
title Mathematical Analysis of Recent Analytical Approximations to the Collapse of an Empty Spherical Bubble
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
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/100799
https://ri.conicet.gov.ar/11336/5318
http://scitation.aip.org/content/aip/journal/jcp/138/8/10.1063/1.4793217
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bdutipo_str Repositorios
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