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...
Uloženo v:
| Hlavní autoři: | , , |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Cham :
Springer International Publishing
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2013. |
| Edice: | Lecture Notes in Mathematics
2085 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
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 |
Obsah:
- Introduction The fine dynamics of the Chafee- Infante equation The stochastic Chafee- Infante equation The small deviation of the small noise solution Asymptotic exit times Asymptotic transition times Localization and metastability The source of stochastic models in conceptual climate dynamics

