École d'Été de Probabilités de Saint-Flour

Random Perturbation of PDEs and Fluid Dynamic Models

École d’Été de Probabilités de Saint-Flour XL – 2010

Authors: Flandoli, Franco

  • Explores why SPDEs sometimes perform better than PDEs
  • Presents non-traditional research directions in SPDE theory
  • Investigates the interaction between noise and uniqueness or singularities
  • Includes special techniques for stochastic fluid dynamic models
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  • ISBN 978-3-642-18231-0
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  • ISBN 978-3-642-18230-3
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About this book

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.

Table of contents (5 chapters)

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-642-18231-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-642-18230-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Random Perturbation of PDEs and Fluid Dynamic Models
Book Subtitle
École d’Été de Probabilités de Saint-Flour XL – 2010
Authors
Series Title
École d'Été de Probabilités de Saint-Flour
Series Volume
2015
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-18231-0
DOI
10.1007/978-3-642-18231-0
Softcover ISBN
978-3-642-18230-3
Series ISSN
0721-5363
Edition Number
1
Number of Pages
X, 182
Number of Illustrations and Tables
10 b/w illustrations
Topics