Random perturbation of PDEs and fluid dynamic models / / Franco Flandoli
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| Autore: |
Flandoli Franco
|
| Titolo: |
Random perturbation of PDEs and fluid dynamic models / / Franco Flandoli
|
| Pubblicazione: | New York, : Springer, 2011 |
| Edizione: | 1st ed. 2011. |
| Descrizione fisica: | 1 online resource (X, 182 p. 10 illus.) |
| Disciplina: | 515.392 |
| Soggetto topico: | Perturbation (Mathematics) |
| Fluid dynamic measurements | |
| Differential equations, Partial | |
| Classificazione: | 60H1560H1060J6535R6035Q3535B4476B03 |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | 1. Introduction to Uniqueness and Blow-up -- 2. Regularization by Additive Noise -- 3. Dyadic Models -- 4. Transport Equation -- 5. Other Models. Uniqueness and Singularities. |
| Sommario/riassunto: | This volume deals with the random perturbation of PDEs which lack well-posedness, mainly because of their non-uniqueness, in some cases because of blow-up. The aim is to show that noise may restore uniqueness or prevent blow-up. This is not a general or easy-to-apply rule, and the theory presented in the book is in fact a series of examples with a few unifying ideas. The role of additive and bilinear multiplicative noise is described and a variety of examples are included, from abstract parabolic evolution equations with non-Lipschitz nonlinearities to particular fluid dynamic models, like the dyadic model, linear transport equations and motion of point vortices. |
| Titolo autorizzato: | Random perturbation of PDEs and fluid dynamic models |
| ISBN: | 3-642-18231-3 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910483749203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture notes in mathematics (Springer-Verlag) ; ; 2015.