Small random perturbations of a dynamical system with blow-up

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We study small random perturbations by additive white-noise of a spatial discretization of a reaction-diffusion equation with a stable equilibrium and solutions that blow up in finite time. We prove that the perturbed system blows up with total probability and establish its order of magnitude and as...

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Autores principales:	Groisman, P., Saglietti, S.
Formato:	Artículo publishedVersion
Publicado:	2012
Materias:	Blow-up Explosions Metastability Random perturbations Stochastic differential equations
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_0022247X_v385_n1_p150_Groisman http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v385_n1_p150_Groisman_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

id	I28-R145-paper_0022247X_v385_n1_p150_Groisman_oai
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spelling	I28-R145-paper_0022247X_v385_n1_p150_Groisman_oai2020-10-19 Groisman, P. Saglietti, S. 2012 We study small random perturbations by additive white-noise of a spatial discretization of a reaction-diffusion equation with a stable equilibrium and solutions that blow up in finite time. We prove that the perturbed system blows up with total probability and establish its order of magnitude and asymptotic distribution. For initial data in the domain of explosion we prove that the explosion time converges to the deterministic one while for initial data in the domain of attraction of the stable equilibrium we show that the system exhibits metastable behavior. © 2011 Elsevier Inc. Fil:Groisman, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_0022247X_v385_n1_p150_Groisman info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Math. Anal. Appl. 2012;385(1):150-166 Blow-up Explosions Metastability Random perturbations Stochastic differential equations Small random perturbations of a dynamical system with blow-up info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v385_n1_p150_Groisman_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic	Blow-up Explosions Metastability Random perturbations Stochastic differential equations
spellingShingle	Blow-up Explosions Metastability Random perturbations Stochastic differential equations Groisman, P. Saglietti, S. Small random perturbations of a dynamical system with blow-up
topic_facet	Blow-up Explosions Metastability Random perturbations Stochastic differential equations
description	We study small random perturbations by additive white-noise of a spatial discretization of a reaction-diffusion equation with a stable equilibrium and solutions that blow up in finite time. We prove that the perturbed system blows up with total probability and establish its order of magnitude and asymptotic distribution. For initial data in the domain of explosion we prove that the explosion time converges to the deterministic one while for initial data in the domain of attraction of the stable equilibrium we show that the system exhibits metastable behavior. © 2011 Elsevier Inc.
format	Artículo Artículo publishedVersion
author	Groisman, P. Saglietti, S.
author_facet	Groisman, P. Saglietti, S.
author_sort	Groisman, P.
title	Small random perturbations of a dynamical system with blow-up
title_short	Small random perturbations of a dynamical system with blow-up
title_full	Small random perturbations of a dynamical system with blow-up
title_fullStr	Small random perturbations of a dynamical system with blow-up
title_full_unstemmed	Small random perturbations of a dynamical system with blow-up
title_sort	small random perturbations of a dynamical system with blow-up
publishDate	2012
url	http://hdl.handle.net/20.500.12110/paper_0022247X_v385_n1_p150_Groisman http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v385_n1_p150_Groisman_oai
work_keys_str_mv	AT groismanp smallrandomperturbationsofadynamicalsystemwithblowup AT sagliettis smallrandomperturbationsofadynamicalsystemwithblowup
_version_	1766026593689403392

Small random perturbations of a dynamical system with blow-up

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