The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise: 2085 (Lecture Notes in Mathematics) - Tapa blanda

Debussche, Arnaud; Högele, Michael; Imkeller, Peter

 
9783319008271: The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise: 2085 (Lecture Notes in Mathematics)
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ISBN 10: 3319008277 ISBN 13: 9783319008271
Editorial: Springer, 2013

Sinopsis

This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the expected exit and transition times between the domains of attraction depend polynomially on the noise intensity in the small intensity limit. Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states.

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De la contraportada

This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the expected exit and transition times between the domains of attraction depend polynomially on the noise intensity in the small intensity limit. Moreover the solution exhibits metastable behavior: there is a polynomial time scale along which the solution dynamics correspond asymptotically to the dynamic behavior of a finite-state Markov chain switching between the stable states.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2013
Idioma
Inglés
ISBN 10 
3319008277
ISBN 13 
9783319008271
Encuadernación
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Número de páginas
180
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9783319008295: The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise

Edición Destacada

ISBN 10:  3319008293 ISBN 13:  9783319008295
Editorial: Springer, 2013
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