{"product_id":"9783540285861","title":"Lecture Notes in Mathematics: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 1-5, 2003","description":"\u003ch1\u003eLecture Notes in Mathematics: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 1-5, 2003\u003c\/h1\u003e \u003ch2\u003eConstantin, Peter; Cannone, Marco; Gallavotti, Giovanni; Miyakawa, Tetsuro; Kazhikhov, Alexandre V.; Meyer, Yves; Ukai, Seiji\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eConstantin \u003c\/em\u003epresents the Euler equations of ideal incompressible fluids and the blow-up problem for the Navier-Stokes equations of viscous fluids, describing major mathematical questions of turbulence theory. These are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations, explained in \u003cem\u003eGallavotti\u003c\/em\u003e's lectures. \u003cem\u003eKazhikhov\u003c\/em\u003e introduces the theory of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. \u003cem\u003eY. Meyer\u003c\/em\u003e focuses on nonlinear evolution equations and related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, localized in space or in time variable. \u003cem\u003eUkai\u003c\/em\u003e discusses the asymptotic analysis theory of fluid equations, the Cauchy-Kovalevskaya technique for the Boltzmann-Grad limit of the Newtonian equation, the multi-scale analysis, giving compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2006-01-10\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540285861\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/b11545989\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 264\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369801375884,"sku":"9783540285861","price":62.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540285861.jpg?v=1775675188","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540285861","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}