Random Perturbation of Pdes and Fluid Dynamic Models: École d'Été de Probabilités de Saint-Flour XL - 2010
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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.
Format:Paperback
Language:English
ISBN:3642182305
ISBN13:9783642182303
Release Date:March 2011
Publisher:Springer
Length:182 Pages
Weight:0.65 lbs.
Dimensions:0.6" x 9.1" x 6.1"
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