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130626 ||| eng |
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|a 9783642182310
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| 100 |
1 |
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|a Flandoli, Franco
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| 245 |
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|a Random Perturbation of PDEs and Fluid Dynamic Models
|h Elektronische Ressource
|b École d’Été de Probabilités de Saint-Flour XL – 2010
|c by Franco Flandoli
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| 250 |
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|a 1st ed. 2011
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2011, 2011
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| 300 |
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|a X, 182 p. 10 illus
|b online resource
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| 505 |
0 |
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|a 1. Introduction to Uniqueness and Blow-up -- 2. Regularization by Additive Noise -- 3. Dyadic Models -- 4. Transport Equation -- 5. Other Models. Uniqueness and Singularities
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| 653 |
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|a Probability Theory and Stochastic Processes
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| 653 |
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|a Probabilities
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a École d'Été de Probabilités de Saint-Flour
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-642-18231-0?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 519.2
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| 520 |
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|a 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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