Overview

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.

Full Product Details

Author:   L. Stupelis
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1995
Volume:   326
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   0.890kg
ISBN:  

9789048145621

ISBN 10:   9048145627
Pages:   566
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

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.

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