Random Perturbation of PDEs and Fluid Dynamic Models : Ecole d'Ete de Probabilites de Saint-Flour XL - 2010 PDF
by Franco Flandoli
Part of the Lecture Notes in Mathematics series
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Description
The book 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.
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:02/03/2011
- Category:
- ISBN:9783642182310
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:02/03/2011
- Category:
- ISBN:9783642182310
