Navier-Stokes Equations in Irregular Domains

1995
ISBN: 978-0-7923-3509-2
Verlag: Springer Netherlands

Buch, Englisch, Band 326, 566 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1039 g

Reihe: Mathematics and Its Applications

The analytical basis of 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 Hölder 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.
: Graduate students, research mathematicians and hydromechanicians whose work involves functional analysis and its applications to Navier-Stokes equations.

Zielgruppe

Research

Autoren/Hrsg.

Stupelis, L.

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Thermodynamik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

1. Preliminaries.- 2. Boundary Value Problems for the Stokes System.- 3. Boundary Value Problems in Plane and Bihedral Angles.- 4. The First Boundary Value Problem in a Given Domain.- 5. Steady Motion of a Fluid with a Free Surface.- Appendix 1. The Green Matrices on the Half-Space and Half-Plane.- 1. The Green Matrices on the Half-Space.- 2. The Green Matrices on the Half-Plane.- Appendix 2. Weighted Schauder Estimates of Solutions to Elliptic Boundary Value Problems.- 1. Function Spaces.- 2. Estimates of the Solution of the Boundary Value Problem in the Half-Space.- 3. Representation of the Solution to the Boundary Value Problem in the Half-Space.- 4. The Boundary Value Problem in a Bounded Domain.- References.- Notation Index.