Título: Random Perturbation Of Pdes And Fluid Dynamic Models (Vol. 2015) | ||
Autor: Flandoli, Franco | Precio: $684.30 | |
Editorial: Springer-Verlag Berlin Heidelberg | Año: 2011 | |
Tema: Matematicas | Edición: 1ª | |
Sinopsis | ISBN: 9783642182303 | |
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. |