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Abstract:

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.

Registro:

Documento: Artículo
Título:Time-space white noise eliminates global solutions in reaction-diffusion equations
Autor:Fernández Bonder, J.; Groisman, P.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pabellon I, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave: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
Año:2009
Volumen:238
Número:2
Página de inicio:209
Página de fin:215
DOI: http://dx.doi.org/10.1016/j.physd.2008.09.005
Título revista:Physica D: Nonlinear Phenomena
Título revista abreviado:Phys D Nonlinear Phenom
ISSN:01672789
CODEN:PDNPD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01672789_v238_n2_p209_FernandezBonder

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Citas:

---------- APA ----------
Fernández Bonder, J. & Groisman, P. (2009) . Time-space white noise eliminates global solutions in reaction-diffusion equations. Physica D: Nonlinear Phenomena, 238(2), 209-215.
http://dx.doi.org/10.1016/j.physd.2008.09.005
---------- CHICAGO ----------
Fernández Bonder, J., Groisman, P. "Time-space white noise eliminates global solutions in reaction-diffusion equations" . Physica D: Nonlinear Phenomena 238, no. 2 (2009) : 209-215.
http://dx.doi.org/10.1016/j.physd.2008.09.005
---------- MLA ----------
Fernández Bonder, J., Groisman, P. "Time-space white noise eliminates global solutions in reaction-diffusion equations" . Physica D: Nonlinear Phenomena, vol. 238, no. 2, 2009, pp. 209-215.
http://dx.doi.org/10.1016/j.physd.2008.09.005
---------- VANCOUVER ----------
Fernández Bonder, J., Groisman, P. Time-space white noise eliminates global solutions in reaction-diffusion equations. Phys D Nonlinear Phenom. 2009;238(2):209-215.
http://dx.doi.org/10.1016/j.physd.2008.09.005