Langbeschreibung
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).
Inhaltsverzeichnis
Giovanni P. Galdi, Yoshihiro Shibata: Preface.- Matthias Hieber: Analysis of Viscous Fluid Flows: An Approach by Evolution Equations.- James C. Robinson: Partial regularity for the 3D Navier-Stokes equations.- Yoshihiro Shibata: R Boundedness, Maximal Regularity and Free Boundary Problems for the Navier Stokes Equations.