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612-822-4611
Random Perturbation of Pdes and Fluid Dynamic Models: École d'Été de Probabilités de Saint-Flour XL - 2010

Random Perturbation of Pdes and Fluid Dynamic Models: École d'Été de Probabilités de Saint-Flour XL - 2010

Paperback

Probability & Statistics

ISBN10: 3642182305
ISBN13: 9783642182303
Publisher: Springer
Published: Mar 11 2011
Pages: 182
Weight: 0.65
Height: 0.60 Width: 9.10 Depth: 6.10
Language: English
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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Probability & Statistics