UID:
almahu_9947363767202882
Format:
X, 182 p. 10 illus.
,
online resource.
ISBN:
9783642182310
Series Statement:
Lecture Notes in Mathematics, 2015
Content:
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.
Note:
1. Introduction to Uniqueness and Blow-up -- 2. Regularization by Additive Noise -- 3. Dyadic Models -- 4. Transport Equation -- 5. Other Models. Uniqueness and Singularities.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783642182303
Language:
English
DOI:
10.1007/978-3-642-18231-0
URL:
http://dx.doi.org/10.1007/978-3-642-18231-0
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