书目名称 | Mathematical Foundation of Turbulent Viscous Flows | 副标题 | Lectures given at th | 编辑 | Marco Cannone,Tetsuro Miyakawa | 视频video | | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | .Constantin .presents 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 .Gallavotti.‘s lectures. .Kazhikhov. introduces the theory of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. .Y. Meyer. 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. .Ukai. 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.. | 出版日期 | Book 2006 | 关键词 | Boltzmann equation; Fourier analysis; Navier-Stokes equation; fluid mechanics; partial differential equa | 版次 | 1 | doi | https://doi.org/10.1007/b11545989 | isbn_softcover | 978-3-540-28586-1 | isbn_ebook | 978-3-540-32454-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer-Verlag Berlin Heidelberg 2006 |
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