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About Random Perturbation of PDEs and Fluid Dynamic Models: École d’Été de Probabilités de Saint-Flour XL – 2010
This volume 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.
Detailed Information
| Author: | Franco Flandoli (auth.) |
|---|---|
| Publication Year: | 2011 |
| ISBN: | 9783642182310 |
| Pages: | 192 |
| Language: | English |
| File Size: | 1.477 |
| Format: | |
| Price: | FREE |
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