{
"item_title" : "Random Perturbation of Pdes and Fluid Dynamic Models",
"item_author" : [" Franco Flandoli "],
"item_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.",
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Random Perturbation of Pdes and Fluid Dynamic Models : École d'Été de Probabilités de Saint-Flour XL - 2010
Overview
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.
This item is Non-Returnable
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Details
- ISBN-13: 9783642182303
- ISBN-10: 3642182305
- Publisher: Springer
- Publish Date: March 2011
- Dimensions: 6.1 x 9.1 x 0.6 inches
- Shipping Weight: 0.65 pounds
- Page Count: 182
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