Compressible Navier-Stokes Equations

Theory and Shape Optimization
2012
ISBN: 978-3-0348-0765-4
Verlag: Springer

Buch, Englisch, Band 73, 464 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 721 g

Reihe: Monografie Matematyczne

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.

Zielgruppe

Research

Autoren/Hrsg.

Soko¿owski, Jan

Plotnikov, Pavel

Sokolowski, Jan

Fachgebiete

• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Aerodynamik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

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.