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Random Perturbation of PDEs and Fluid Dynamic Models

Random Perturbation of PDEs and Fluid Dynamic Models

Franco Flandoli

60,56 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2011
Materia
Probabilidad y estadística
ISBN:
9783642182303
60,56 €
IVA incluido
Disponible

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Sobre IBD

The book 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.

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