Mathematical Analysis of the Navier-Stokes Equations Cetraro, Italy 2017【電子書籍】[ Matthias Hieber ]

＜p＞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).＜/p＞ ＜p＞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 wi．．．楽天市場のショップで商品詳細の続きを見る