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 i...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
2011, 2011
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| Edition: | 1st ed. 2011 |
| Series: | École d'Été de Probabilités de Saint-Flour
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
| Summary: | 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 |
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| Physical Description: | X, 182 p. 10 illus online resource |
| ISBN: | 9783642182310 |