Random perturbation of PDEs and fluid dynamic models [electronic resource] : Ecole d'été de probabilités de Saint-Flour XL-2010 / Franco Flandoli.

This volumedeals 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...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Flandoli, Franco
Corporate Author: Ecole d'été de probabilités de Saint-Flour
Other title:Partial Differential Equations.
Format: Electronic Conference Proceeding eBook
Language:English
Published: Berlin : Springer, ©2011.
Series:Lecture notes in mathematics (Springer-Verlag) ; 2015.
Lecture notes in mathematics (Springer-Verlag). École d'été de probabilités de Saint-Flour.
Subjects:
Table of Contents:
  • Introduction to uniqueness and blow-up
  • Regularization by additive noise
  • Dyadic models
  • Transport equation
  • Other models: uniqueness and singularities.