Dynamics Nonlinear Reaction Diffusion Equations by Debussche Arnaud (11 results)
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Published by Springer International Publishing Okt 2013, 2013
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Taschenbuch. Condition: Neu. Neuware -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 met…hod 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. 180 pp. Englisch.
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Taschenbuch. Condition: Neu. The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise | Arnaud Debussche (u. a.) | Taschenbuch | Lecture Notes in Mathematics | xiv | Englisch | 2013 | Springer | EAN 9783319008271 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, j…uergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 separat…ing 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 180 pp. Englisch.
