Sohr H. The Navier-Stokes Equations...Analytic Approach 2001 torrent

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This book offers an elementary, self-contained approach to the mathematical theory of viscous, incompressible fluid in a domain of the Euclidian space, described by the equations of Navier-Stokes. It is the first to provide a systematic treatment of the subject. It is designed for students familiar with basic tools in Hilbert and Banach spaces, but fundamental properties of, for example, Sobolev spaces, are collected in the first two chapters
Preface
Introduction
Preliminary Results
The Stationary Navier-Stokes Equations
The Linearized Nonstationary Theory
The Full Nonlinear Navier-Stokes Equations
Bibliography
Index