| 书目名称 | Mathematical Analysis of the Navier-Stokes Equations | | 副标题 | Cetraro, Italy 2017 | | 编辑 | Matthias Hieber,James C. Robinson,Yoshihiro Shibat | | 视频video | | | 概述 | Provides an accessible introduction to the basic results and major open questions related to the Navier–Stokes initial-value problem.Gives applications to difficult and still unresolved questions, lik | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .This book collects together a unique set of articles dedicated to several fundamental aspects of the Navier–Stokes equations. As is well known, understanding the mathematical properties of these equations, along with their physical interpretation, constitutes one of the most challenging questions of applied mathematics. Indeed, the Navier-Stokes equations feature among the Clay Mathematics Institute‘s seven Millennium Prize Problems (existence of global in time, regular solutions corresponding to initial data of unrestricted magnitude). ..The text comprises three extensive contributions covering the following topics: (1) Operator-Valued H∞-calculus, R-boundedness, Fourier multipliers and maximal Lp-regularity theory for a large, abstract class of quasi-linear evolution problems with applications to Navier–Stokes equations and other fluid model equations; (2) Classical existence, uniqueness and regularity theorems of solutions to the Navier–Stokes initial-value problem, along with space-time partial regularity and investigation of the smoothness of the Lagrangean flow map; and (3) A complete mathematical theory of R-boundedness and maximal regularity with applications to free b | | 出版日期 | Book 2020 | | 关键词 | Complex Fluid Models; Existence, Uniqueness and Regularity; ; Free Boundary Problems; Navier-Stokes Equa | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-36226-3 | | isbn_softcover | 978-3-030-36225-6 | | isbn_ebook | 978-3-030-36226-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer Nature Switzerland AG 2020 |
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发表于 2025-3-21 16:20:51
