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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2013.
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| Edición: | 1st ed. 2013. |
| Colección: | Lecture Notes in Mathematics,
2085 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.