000 02551nam a22004815i 4500
001 978-3-642-18231-0
003 DE-He213
005 20160624101837.0
007 cr nn 008mamaa
008 110301s2011 gw | s |||| 0|eng d
020 _a9783642182310
_9978-3-642-18231-0
024 7 _a10.1007/978-3-642-18231-0
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029000
_2bisacsh
082 0 4 _a519.2
_223
100 1 _aFlandoli, Franco.
_eauthor.
245 1 0 _aRandom Perturbation of PDEs and Fluid Dynamic Models
_h[electronic resource] :
_bÉcole d’Été de Probabilités de Saint-Flour XL – 2010 /
_cby Franco Flandoli.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aX, 182 p. 10 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2015
505 0 _a1. Introduction to Uniqueness and Blow-up -- 2. Regularization by Additive Noise -- 3. Dyadic Models -- 4. Transport Equation -- 5. Other Models. Uniqueness and Singularities.
520 _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.
650 0 _aMathematics.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642182303
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2015
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-18231-0
942 _2EBK1959
_cEBK
999 _c31253
_d31253