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035   $a(DE-He213)978-3-642-18231-0
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100   $a20110301d2011      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aRandom Perturbation of PDEs and Fluid Dynamic Models $eÉcole d?Été de Probabilités de Saint-Flour XL ? 2010 /$fby Franco Flandoli
205   $a1st ed. 2011.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2011.
215   $a1 online resource (X, 182 p. 10 illus.)
225 1 $aÉcole d'Été de Probabilités de Saint-Flour,$x0721-5363 ;$v2015
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-18230-5 
320   $aIncludes bibliographical references.
327   $a1. Introduction to Uniqueness and Blow-up -- 2. Regularization by Additive Noise -- 3. Dyadic Models -- 4. Transport Equation -- 5. Other Models. Uniqueness and Singularities.
330   $aThis volume deals with the random perturbation of PDEs which lack well-posedness, mainly because of their non-uniqueness, in some cases because of blow-up. The aim is to show that noise may restore uniqueness or prevent blow-up. This is not a general or easy-to-apply rule, and the theory presented in the book is in fact a series of examples with a few unifying ideas. The role of additive and bilinear multiplicative noise is described and a variety of examples are included, from abstract parabolic evolution equations with non-Lipschitz nonlinearities to particular fluid dynamic models, like the dyadic model, linear transport equations and motion of point vortices.
410  0$aLecture notes in mathematics (Springer-Verlag).$pE?cole d'e?te? de probabilite?s de Saint-Flour$x0721-5363 ;$v2015
606   $aProbabilities
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
615  0$aProbabilities.
615 14$aProbability Theory and Stochastic Processes.
676   $a515.392
686   $a60H15$a60H10$a60J65$a35R60$a35Q35$a35B44$a76B03$2msc
700   $aFlandoli$b Franco$4aut$4http://id.loc.gov/vocabulary/relators/aut$0314270
702   $aFlandoli$b Franco
906   $aBOOK
912   $a996466504003316
996   $aRandom perturbation of PDEs and fluid dynamic models$9261810
997   $aUNISA