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Random Perturbation of Pdes and Fluid Dynamic Models

- École d'Été de Probabilités de Saint-Flour XL - 2010

Bag om Random Perturbation of Pdes and Fluid Dynamic Models

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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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783642182303
  • Indbinding:
  • Paperback
  • Sideantal:
  • 182
  • Udgivet:
  • 11. marts 2011
  • Størrelse:
  • 231x155x15 mm.
  • Vægt:
  • 295 g.
  • BLACK NOVEMBER
Leveringstid: 8-11 hverdage
Forventet levering: 6. december 2024

Beskrivelse af Random Perturbation of Pdes and Fluid Dynamic Models

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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