Compressible Navier-Stokes Equations: Theory and Shape Optimization
Author:   Pavel Plotnikov ,  Jan Sokołowski
Publisher:   Springer Basel
Edition:   2012 ed.
Volume:   73
ISBN:  

9783034803663


Pages:   464
Publication Date:   04 August 2012
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Compressible Navier-Stokes Equations: Theory and Shape Optimization


Overview

The book presents the modern state of the art in the mathematical theory of compressible Navier-Stokes equations, with particular emphasis on the applications to aerodynamics. The topics covered include: modeling of compressible viscous flows; modern mathematical theory of nonhomogeneous boundary value problems for viscous gas dynamics equations; applications to optimal shape design in aerodynamics; kinetic theory for equations with oscillating data; new approach to the boundary value problems for transport equations. The monograph offers a comprehensive and self-contained introduction to recent mathematical tools designed to handle the problems arising in the theory.

Full Product Details

Author:   Pavel Plotnikov ,  Jan Sokołowski
Publisher:   Springer Basel
Imprint:   Springer Basel
Edition:   2012 ed.
Volume:   73
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   0.881kg
ISBN:  

9783034803663


ISBN 10:   3034803664
Pages:   464
Publication Date:   04 August 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- Introduction.- 1 Preliminaries.- 2 Physical background.- 3 Problem formulation.- 4 Basic statements.- 5 Nonstationary case. Existence theory.- 6 Pressure estimate.- 7 Kinetic theory. Fast density oscillations.- 8 Domain convergence.- 9 Flow around an obstacle. Domain dependence.- 10 Existence theory in nonsmooth domains.- 11 Sensitivity analysis. Shape gradient of the drag functional.- 12 Transport equations.- 13 Appendix.- Bibliography.- Notation.- Index.

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