Random perturbation of PDEs and fluid dynamic models : Ecole d'été de probabilités de Saint-Flour XL-2010 / Franco Flandoli
Type de document : CongrèsCollection : Lecture notes in mathematics, 2015Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, cop. 2011Description : 1 vol. (IX-176 p.) : fig.ISBN: 9783642182303.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 161-169. Liste des participants.Sujet MSC : 35R60, Miscellaneous topics in partial differential equations, PDEs with randomness, stochastic partial differential equations35Q35, PDEs of mathematical physics and other areas of application, PDEs in connection with fluid mechanics
37J40, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Perturbations, normal forms, small divisors, KAM theory, Arnol'd diffusion
37N10, Applications of dynamical systems, Dynamical systems in fluid mechanics, oceanography and meteorology
93C73, Model systems in control theory, Perturbations in control/observation systemsEn-ligne : Springerlink
| Item type | Current library | Call number | Status | Date due | Barcode |
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Congrès
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CMI Salle 1 | Ecole STF (Browse shelf(Opens below)) | Available | 06703-01 |
Bibliogr. p. 161-169. Liste des participants
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. (Source : 4ème de couverture)
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