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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 |
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