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[null,"1.","Record Nr.",null,"UNINA9910483749203321"]
[null,null,"Autore",null,"Flandoli Franco"]
[null,null,"Titolo",null,"Random Perturbation of PDEs and Fluid Dynamic Models : École d’Été de Probabilités de Saint-Flour XL – 2010 / / by Franco Flandoli"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011"]
[null,null,"ISBN",null,"9783642182310"]
[{"$nulls":4},"3642182313"]
[null,null,"Edizione",null,"[1st ed. 2011.]"]
[null,null,"Descrizione fisica",null,"1 online resource (X, 182 p. 10 illus.)"]
[null,null,"Collana",null,"École d'Été de Probabilités de Saint-Flour ; ; 2015"]
[null,null,"Classificazione",null,"60H1560H1060J6535R6035Q3535B4476B03"]
[null,null,"Disciplina",null,"515.392"]
[null,null,"Soggetti",null,"Probabilities"]
[{"$nulls":4},"Probability Theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"1. Introduction to Uniqueness and Blow-up -- 2. Regularization by Additive Noise -- 3. Dyadic Models -- 4. Transport Equation -- 5. Other Models. Uniqueness and Singularities."]
[null,null,null,"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."]