Random Perturbation of PDEs and Fluid Dynamic Models: École d’Été de Probabilités de Saint-Flour XL – 2010 - Couverture souple

Flandoli, Franco

 
9783642182303: Random Perturbation of PDEs and Fluid Dynamic Models: École d’Été de Probabilités de Saint-Flour XL – 2010
Couverture souple
ISBN 10 : 3642182305 ISBN 13 : 9783642182303
Editeur : Springer, 2011

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Présentation de l'éditeur

This volume explores the random perturbation of PDEs and fluid dynamic models. The text describes the role of additive and bilinear multiplicative noise, and includes examples of abstract parabolic evolution equations.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2011
Langue
anglais
ISBN 10 
3642182305
ISBN 13 
9783642182303
Reliure
Broché
Nombre de pages
192
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Allemagne

Autres éditions populaires du même titre

9783642182327: Random Perturbation of PDEs and Fluid Dynamic Models: École d'Été de Probabilités de Saint-Flour XL - 2010

Edition présentée

ISBN 10 :  3642182321 ISBN 13 :  9783642182327
Editeur : Springer, 2011
Couverture souple