The Dynamics of Nonlinear Reaction Diffusion Equations with Small L vy Noise

This book PDF is perfect for those who love Mathematics genre, written by Arnaud Debussche and published by Springer which was released on 01 October 2013 with total hardcover pages 165. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related The Dynamics of Nonlinear Reaction Diffusion Equations with Small L vy Noise books below.

The Dynamics of Nonlinear Reaction Diffusion Equations with Small L  vy Noise
Author : Arnaud Debussche
File Size : 42,7 Mb
Publisher : Springer
Language : English
Release Date : 01 October 2013
ISBN : 9783319008288
Pages : 165 pages
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The Dynamics of Nonlinear Reaction Diffusion Equations with Small L vy Noise by Arnaud Debussche Book PDF Summary

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.

The Dynamics of Nonlinear Reaction Diffusion Equations with Small L  vy Noise

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

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