Random Perturbation of PDEs and Fluid Dynamic Models : Ecole d'Ete de Probabilites de Saint-Flour XL - 2010

Flandoli, Franco

ISBN 10: 3642182305 / ISBN 13: 9783642182303

Published by Springer 2011-03, 2011

About this Item

Seller Inventory # 6666-IUK-9783642182303

Bibliographic Details

• Title: Random Perturbation of PDEs and Fluid Dynamic Models : Ecole d'Ete de Probabilites de Saint-Flour XL - 2010
• Publisher: Springer 2011-03
• Publication Date: 2011
• Language: English
• ISBN 10: 3642182305
• ISBN 13: 9783642182303
• Binding: PF
• Condition: New

About this title

Synopsis

The book 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.

From the Back Cover

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.