The dynamics of nonlinear reaction-diffusion equations with small Lévy 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 deve...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Cham :
Springer International Publishing
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2013. |
| Schriftenreihe: | Lecture Notes in Mathematics
2085 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
L'impression du document génère 175 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The dynamics of nonlinear reaction-diffusion equations with small Lévy noise, Arnaud Debussche, Michael Högele, Peter Imkeller, Cham (Suisse), Springer, 2013, 1 vol. (XIII-163 p.), Lecture notes in mathematics, 3-319-00827-7 • The dynamics of nonlinear reaction-diffusion equations with small Lévy noise, Arnaud Debussche, Michael Högele, Peter Imkeller, Cham (Suisse), Springer, 2013, 1 vol. (XIII-163 p.), Lecture notes in mathematics, 3-319-00827-7 • The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise, Texte imprimé, 9783319008295 |
| Zusammenfassung: | 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 |
|---|---|
| Beschreibung: | L'impression du document génère 175 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliographie: | Bilbliogr. |
| ISBN: | 9783319008288 |
| ISSN: | 1617-9692 |
| Zugangseinschränkungen: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |