Random Perturbation of PDEs and Fluid Dynamic Models
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Random Perturbation of PDEs and Fluid Dynamic Models by Franco Flandoli
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.| SKU | Unavailable |
| ISBN 13 | 9783642182303 |
| ISBN 10 | 3642182305 |
| Title | Random Perturbation of PDEs and Fluid Dynamic Models |
| Author | Franco Flandoli |
| Series | Lecture Notes In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer |
| Year published | 2011-03-11 |
| Number of pages | 182 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |