Pavel Plotnikov, Jan Sokolowski

Compressible Navier-Stokes Equations

Theory and Shape Optimization

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Monografie Matematyczne 73
• Verlag: Birkhäuser / Springer Basel / Springer, Basel
• Artikelnr. des Verlages: 978-3-0348-0765-4
• 2012
• Seitenzahl: 480
• Erscheinungstermin: 20. September 2014
• Englisch
• Abmessung: 235mm x 155mm x 26mm
• Gewicht: 730g
• ISBN-13: 9783034807654
• ISBN-10: 3034807651
• Artikelnr.: 41533128

Inhaltsangabe

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.