| Random Perturbation of Pdes and Fluid Dynamic Models: École d'Été de Probabilités de Saint-Flour XL - 2010 Contributor(s): Flandoli, Franco (Author) |
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ISBN: 3642182305 ISBN-13: 9783642182303 Publisher: Springer OUR PRICE: $47.45 Product Type: Paperback - Other Formats Published: March 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General |
| Dewey: 519 |
| LCCN: 2011923078 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.6" H x 9.1" W x 6.1" (0.65 lbs) 182 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |
