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Random Perturbation of PDEs and Fluid Dynamic Models by Franco Flandoli
Random Perturbation of PDEs and Fluid Dynamic Models by Franco Flandoli
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Random Perturbation of PDEs and Fluid Dynamic Models

École d’Été de Probabilités de Saint-Flour XL – 2010
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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.
Release date Australia
March 11th, 2011
Audience
  • Professional & Vocational
Illustrations
10 Illustrations, black and white; X, 182 p. 10 illus.
Pages
182
Dimensions
156x234x10
ISBN-13
9783642182303
Product ID
10057854

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