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

• Main Author: Flandoli, Franco (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Lecture Notes in Mathematics, 2015
• Subjects: Mathematics.; Probabilities.; Probability Theory and Stochastic Processes.

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 i...

Table of Contents:

• 1. Introduction to Uniqueness and Blow-up
• 2. Regularization by Additive Noise
• 3. Dyadic Models
• 4. Transport Equation
• 5. Other Models. Uniqueness and Singularities.