Navier-Stokes equations in planar domain
β Ben-Artzi, Matania;Croisille, Jean-Pierre;Fishelov, Dalia
π Library
π
2013
π English
β¦ LIBER β¦
π
NavierβStokes Equations in Irregular Domains
β Scribed by Liudas Stupelis (auth.)
- Publisher
- Springer Netherlands
- Year
- 1995
- Tongue
- English
- Leaves
- 582
- Series
- Mathematics and Its Applications 326
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
The analytical basis of Navier-Stokes Equations in IrregularDomains is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and HΓΆlder spaces, and the investigation of the smoothness of their solutions. This allows one to deal with the special problems that arise in the presence of edges or angular points in the plane case, at the boundary or noncompact boundaries. Such problems cannot be dealt with in any of the usual ways.
Audience: Graduate students, research mathematicians and hydromechanicians whose work involves functional analysis and its applications to Navier-Stokes equations.
β¦ Table of Contents
Front Matter....Pages i-xv
Preliminaries....Pages 1-54
Boundary Value Problems for the Stokes System....Pages 55-175
Boundary Value Problems in Plane and Bihedral Angles....Pages 176-294
The First Boundary Value Problem in a Given Domain....Pages 295-362
Steady Motion of a Fluid with a Free Surface....Pages 363-517
Back Matter....Pages 518-568
β¦ Subjects
Fluid- and Aerodynamics;Functional Analysis;Operator Theory;Partial Differential Equations;Mechanics
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