TY  - BOOK
AU  - Flandoli,Franco
ED  - SpringerLink (Online service)
TI  - Random Perturbation of PDEs and Fluid Dynamic Models: École d’Été de Probabilités de Saint-Flour XL – 2010 
T2  - Lecture Notes in Mathematics,
SN  - 9783642182310
AV  - QA273.A1-274.9 
U1  - 519.2 23
PY  - 2011///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Distribution (Probability theory)
KW  - Probability Theory and Stochastic Processes
N1  - 1. Introduction to Uniqueness and Blow-up -- 2. Regularization by Additive Noise -- 3. Dyadic Models -- 4. Transport Equation -- 5. Other Models. Uniqueness and Singularities
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-18231-0
ER  -