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...
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| Auteurs principaux: | , , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Cham :
Springer International Publishing
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2013. |
| Serija: | Lecture Notes in Mathematics
2085 |
| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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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 |
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| 100 | 1 | |a Debussche, Arnaud, |d 19..-...., |c mathématicien. | |
| 245 | 1 | 0 | |a The dynamics of nonlinear reaction-diffusion equations with small Lévy noise |c Arnaud Debussche, Michael Högele, Peter Imkeller. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Cham : |b Springer International Publishing. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 2085 |x 1617-9692 | |
| 500 | |a L'impression du document génère 175 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bilbliogr. | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Équations aux dérivées partielles stochastiques | ||
| 650 | |a Processus de Lévy | ||
| 650 | |a Distribution (théorie des probabilités) | ||
| 650 | |a Systèmes dynamiques | ||
| 700 | 1 | |a Högele, Michael, |d 1980- |4 aut | |
| 700 | 1 | |a Imkeller, Peter, |d 1951- |4 aut | |
| 776 | 0 | |0 174326750 |t The dynamics of nonlinear reaction-diffusion equations with small Lévy noise |f Arnaud Debussche, Michael Högele, Peter Imkeller |c Cham (Suisse) |n Springer |d 2013 |p 1 vol. (XIII-163 p.) |s Lecture notes in mathematics |z 3-319-00827-7 | |
| 776 | 0 | |0 174326750 |t The dynamics of nonlinear reaction-diffusion equations with small Lévy noise |f Arnaud Debussche, Michael Högele, Peter Imkeller |c Cham (Suisse) |n Springer |d 2013 |p 1 vol. (XIII-163 p.) |s Lecture notes in mathematics |z 3-319-00827-7 | |
| 776 | 0 | |t The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise |b Texte imprimé |z 9783319008295 | |
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| 997 | |0 946928 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||