Navier-Stokes Equations in Irregular Domains - L. Stupelis

Navier-Stokes Equations in Irregular Domains

(Autor)

Buch | Hardcover
566 Seiten
1995
Springer (Verlag)
978-0-7923-3509-2 (ISBN)
106,99 inkl. MwSt
The analytical basis of Navier-Stokes Equations in Irregular Domains 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.
Audience: Graduate students, research mathematicians and hydromechanicians whose work involves functional analysis and its applications to Navier-Stokes equations.

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.

Reihe/Serie Mathematics and Its Applications ; 326
Mathematics and Its Applications ; 326
Zusatzinfo XV, 566 p.
Verlagsort Dordrecht
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Mechanik
Naturwissenschaften Physik / Astronomie Strömungsmechanik
Technik Maschinenbau
ISBN-10 0-7923-3509-0 / 0792335090
ISBN-13 978-0-7923-3509-2 / 9780792335092
Zustand Neuware
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