Time-space white noise eliminates global solutions in reaction-diffusion equations

We prove that perturbing the reaction-diffusion equation ut = ux x + (u+)p (p > 1), with time-space white noise produces that solutions explodes with probability one for every initial datum, opposite to the deterministic model where a positive stationary solution exists. © 2008 Elsevier B.V....

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Detalles Bibliográficos
Autores principales:	Fernandez Bonder, Julian, Groisman, Pablo Jose
Publicado:	2009
Materias:	Explosion Reaction-diffusion equations Stochastic partial differential equations Computational fluid dynamics Diffusion Diffusion in liquids Image segmentation White noise Deterministic models Global solutions Noise eliminates Stationary solutions Partial differential equations
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v238_n2_p209_FernandezBonder http://hdl.handle.net/20.500.12110/paper_01672789_v238_n2_p209_FernandezBonder
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_01672789_v238_n2_p209_FernandezBonder
record_format	dspace
spelling	paper:paper_01672789_v238_n2_p209_FernandezBonder2023-06-08T15:16:18Z Time-space white noise eliminates global solutions in reaction-diffusion equations Fernandez Bonder, Julian Groisman, Pablo Jose Explosion Reaction-diffusion equations Stochastic partial differential equations Computational fluid dynamics Diffusion Diffusion in liquids Image segmentation White noise Deterministic models Global solutions Noise eliminates Reaction-diffusion equations Stationary solutions Stochastic partial differential equations Partial differential equations We prove that perturbing the reaction-diffusion equation ut = ux x + (u+)p (p > 1), with time-space white noise produces that solutions explodes with probability one for every initial datum, opposite to the deterministic model where a positive stationary solution exists. © 2008 Elsevier B.V. All rights reserved. Fil:Fernández Bonder, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Groisman, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v238_n2_p209_FernandezBonder http://hdl.handle.net/20.500.12110/paper_01672789_v238_n2_p209_FernandezBonder
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Explosion Reaction-diffusion equations Stochastic partial differential equations Computational fluid dynamics Diffusion Diffusion in liquids Image segmentation White noise Deterministic models Global solutions Noise eliminates Reaction-diffusion equations Stationary solutions Stochastic partial differential equations Partial differential equations
spellingShingle	Explosion Reaction-diffusion equations Stochastic partial differential equations Computational fluid dynamics Diffusion Diffusion in liquids Image segmentation White noise Deterministic models Global solutions Noise eliminates Reaction-diffusion equations Stationary solutions Stochastic partial differential equations Partial differential equations Fernandez Bonder, Julian Groisman, Pablo Jose Time-space white noise eliminates global solutions in reaction-diffusion equations
topic_facet	Explosion Reaction-diffusion equations Stochastic partial differential equations Computational fluid dynamics Diffusion Diffusion in liquids Image segmentation White noise Deterministic models Global solutions Noise eliminates Reaction-diffusion equations Stationary solutions Stochastic partial differential equations Partial differential equations
description	We prove that perturbing the reaction-diffusion equation ut = ux x + (u+)p (p > 1), with time-space white noise produces that solutions explodes with probability one for every initial datum, opposite to the deterministic model where a positive stationary solution exists. © 2008 Elsevier B.V. All rights reserved.
author	Fernandez Bonder, Julian Groisman, Pablo Jose
author_facet	Fernandez Bonder, Julian Groisman, Pablo Jose
author_sort	Fernandez Bonder, Julian
title	Time-space white noise eliminates global solutions in reaction-diffusion equations
title_short	Time-space white noise eliminates global solutions in reaction-diffusion equations
title_full	Time-space white noise eliminates global solutions in reaction-diffusion equations
title_fullStr	Time-space white noise eliminates global solutions in reaction-diffusion equations
title_full_unstemmed	Time-space white noise eliminates global solutions in reaction-diffusion equations
title_sort	time-space white noise eliminates global solutions in reaction-diffusion equations
publishDate	2009
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v238_n2_p209_FernandezBonder http://hdl.handle.net/20.500.12110/paper_01672789_v238_n2_p209_FernandezBonder
work_keys_str_mv	AT fernandezbonderjulian timespacewhitenoiseeliminatesglobalsolutionsinreactiondiffusionequations AT groismanpablojose timespacewhitenoiseeliminatesglobalsolutionsinreactiondiffusionequations
_version_	1768545595551645696

Time-space white noise eliminates global solutions in reaction-diffusion equations

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