Random Perturbation of PDEs and Fluid Dynamic Models : École d’Été de Probabilités de Saint-Flour XL – 2010 / / by Franco Flandoli

• Autore: Flandoli Franco
• Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011
• Edizione: 1st ed. 2011.
• Descrizione fisica: 1 online resource (X, 182 p. 10 illus.)
• Disciplina: 515.392
• Soggetto topico: Probabilities; Probability Theory and Stochastic Processes
• Classificazione: 60H1560H1060J6535R6035Q3535B4476B03
• Persona (resp. second.): FlandoliFranco
• 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.: 996466504003316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture notes in mathematics (Springer-Verlag). . -École d'été de probabilités de Saint-Flour . 0721-5363 ; ; 2015