Compressible Navier-Stokes Equations Theory and Shape Optimization /

• Main Authors: Plotnikov, Pavel (Author), Sokołowski, Jan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
• Series: Monografie Matematyczne ; 73
• Subjects: Mathematics.; Partial differential equations.; Mathematical physics.; Partial Differential Equations.; Mathematical Physics.

The book presents the modern state of the art in the mathematical theory of compressible Navier-Stokes equations, with particular emphasis on applications to aerodynamics. The topics covered include: modeling of compressible viscous flows; modern mathematical theory of nonhomogeneous boundary value...

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.