Overview

This text covers the analytical basis of Navier-Stokes equations in irregular domains, which is formed by coercive estimates. These enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and Holder spaces, and allow the investigation of the smoothness of their solutions. This, in turn, 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. This book is intended for 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:   1995 ed.
Volume:   326
Dimensions:   Width: 15.50cm , Height: 3.10cm , Length: 23.50cm
Weight:   2.200kg
ISBN:  

9780792335092

ISBN 10:   0792335090
Pages:   566
Publication Date:   30 June 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
We will order this item for you from a manufatured on demand supplier.

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.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions