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Random Perturbation of Pdes and Fluid Dynamic Models
Condition: BRAND NEW
Author(s): Franco Flandoli
Publisher: Springer-verlag Berlin And Heidelberg Gmbh & Co. Kg
Dimensions: 234 x 0 x 156 (w x l x h)
Series: Lecture Notes In Mathematics
Series Number: 2015
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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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