Description 
1 online resource (vi, 464 pages) 
Series 
Lecture notes in mathematics ; 2254 

Lecture notes in mathematics (SpringerVerlag). CIME Foundation subseries 

Lecture notes in mathematics (SpringerVerlag) ; 2254.


Lecture notes in mathematics (SpringerVerlag). CIME Foundation subseries.

Contents 
Analysis of Viscous Fluid Flows: An Approach by Evolution Equations  Partial Regularity for the 3D NavierStokes Equations  R Boundedness, Maximal Regularity and Free Boundary Problems for the Navier Stokes Equations 
Summary 
This book collects together a unique set of articles dedicated to several fundamental aspects of the NavierStokes 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 NavierStokes 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) OperatorValued H∞calculus, Rboundedness, Fourier multipliers and maximal Lpregularity theory for a large, abstract class of quasilinear evolution problems with applications to NavierStokes equations and other fluid model equations; (2) Classical existence, uniqueness and regularity theorems of solutions to the NavierStokes initialvalue problem, along with spacetime partial regularity and investigation of the smoothness of the Lagrangean flow map; and (3) A complete mathematical theory of Rboundedness and maximal regularity with applications to free boundary problems for the NavierStokes equations with and without surface tension. Offering a general mathematical framework that could be used to study fluid problems and, more generally, a wide class of abstract evolution equations, this volume is aimed at graduate students and researchers who want to become acquainted with fundamental problems related to the NavierStokes equations 
Subject 
NavierStokes equations.


Fluid mechanics.


Applied mathematics.


Differential calculus & equations.


Science  Mechanics  Dynamics  Fluid Dynamics.


Mathematics  Applied.


Mathematics  Differential Equations.


Matemáticas  Ecuaciones Diferenciales


Estadística aplicada


NavierStokes equations

Genre/Form 
Konferenzschrift

Form 
Electronic book

Author 
Robinson, James C. (James Cooper), 1969


Shibata, Yoshihiro.


Galdi, Giovanni P. (Giovanni Paolo), 1947

ISBN 
9783030362263 

3030362264 
