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

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink Bücher | Lecture notes in mathematics ; 2015Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: Online-Ressource (IX, 176p. 10 illus, digital)ISBN:
  • 9783642182310
Subject(s): Additional physical formats: 9783642182303 | Buchausg. u.d.T.: Random perturbation of PDEs and fluid dynamic models. Heidelberg : Springer, 2011. IX, 176 S.MSC: MSC: *35-02 | 35R60 | 35Q35 | 35Q31 | 35Q30RVK: RVK: SI 850LOC classification:
  • QA273.A1-274.9 QA274-274.9
DOI: DOI: 10.1007/978-3-642-18231-0Online resources: Summary: 1. Introduction to Uniqueness and Blow-up -- 2. Regularization by Additive Noise -- 3. Dyadic Models -- 4. Transport Equation -- 5. Other Models. Uniqueness and Singularities.Summary: 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.PPN: PPN: 1650840195Package identifier: Produktsigel: ZDB-2-LNM | ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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