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Record Nr. |
UNISA996466504003316 |
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Autore |
Flandoli Franco |
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Titolo |
Random Perturbation of PDEs and Fluid Dynamic Models : École d’Été de Probabilités de Saint-Flour XL – 2010 / / by Franco Flandoli |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011 |
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ISBN |
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Edizione |
[1st ed. 2011.] |
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Descrizione fisica |
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1 online resource (X, 182 p. 10 illus.) |
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Collana |
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École d'Été de Probabilités de Saint-Flour, , 0721-5363 ; ; 2015 |
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Classificazione |
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60H1560H1060J6535R6035Q3535B4476B03 |
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Disciplina |
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Soggetti |
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Probabilities |
Probability Theory and Stochastic Processes |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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1. Introduction to Uniqueness and Blow-up -- 2. Regularization by Additive Noise -- 3. Dyadic Models -- 4. Transport Equation -- 5. Other Models. Uniqueness and Singularities. |
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Sommario/riassunto |
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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. |
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