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

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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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Autores principales: Fernández Bonder, J., Groisman, P.
Formato: JOUR
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: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 todo:paper_01672789_v238_n2_p209_FernandezBonder
record_format dspace
spelling todo:paper_01672789_v238_n2_p209_FernandezBonder2023-10-03T15:04:38Z Time-space white noise eliminates global solutions in reaction-diffusion equations Fernández Bonder, J. Groisman, P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Fernández Bonder, J.
Groisman, P.
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.
format JOUR
author Fernández Bonder, J.
Groisman, P.
author_facet Fernández Bonder, J.
Groisman, P.
author_sort Fernández Bonder, J.
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
url http://hdl.handle.net/20.500.12110/paper_01672789_v238_n2_p209_FernandezBonder
work_keys_str_mv AT fernandezbonderj timespacewhitenoiseeliminatesglobalsolutionsinreactiondiffusionequations
AT groismanp timespacewhitenoiseeliminatesglobalsolutionsinreactiondiffusionequations
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