Udvidet returret til d. 31. januar 2025

Bøger af Franco Flandoli

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  • - École d'Été de Probabilités de Saint-Flour XL - 2010
    af Franco Flandoli
    514,95 kr.

    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.

  • af Franco Flandoli
    907,95 kr.

    Two topics in the theory of stochastic partial differential equations: space-regularity of solutions and existence of stochastic flows are covered in this work. The equations considered in the book are linear parabolic with multiplicative noise, like those arising in nonlinear filtering.

  • - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, August 29 - September 3, 2005
    af Yakov G. Sinai, Sergio Albeverio & Franco Flandoli
    531,95 kr.

    Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D Navier-Stokes equations and ends with turbulence.

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