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{ "item_title" : "Random Perturbation of Pdes and Fluid Dynamic Models", "item_author" : [" Franco Flandoli "], "item_description" : "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.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/3/64/218/230/3642182305_b.jpg", "price_data" : { "retail_price" : "49.95", "online_price" : "49.95", "our_price" : "49.95", "club_price" : "49.95", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Random Perturbation of Pdes and Fluid Dynamic Models|Franco Flandoli

Random Perturbation of Pdes and Fluid Dynamic Models : École d'Été de Probabilités de Saint-Flour XL - 2010

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Overview

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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Details

  • ISBN-13: 9783642182303
  • ISBN-10: 3642182305
  • Publisher: Springer
  • Publish Date: March 2011
  • Dimensions: 6.1 x 9.1 x 0.6 inches
  • Shipping Weight: 0.65 pounds
  • Page Count: 182

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