Pavel Plotnikov, Jan Sokolowski

Compressible Navier-Stokes Equations

Theory and Shape Optimization

• Gebundenes 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.

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Produktdetails

• Monografie Matematyczne 73
• Verlag: Birkhäuser / Springer Basel / Springer, Basel
• Artikelnr. des Verlages: 80074633, 978-3-0348-0366-3
• 2012
• Seitenzahl: 480
• Erscheinungstermin: 4. August 2012
• Englisch
• Abmessung: 241mm x 160mm x 31mm
• Gewicht: 886g
• ISBN-13: 9783034803663
• ISBN-10: 3034803664
• Artikelnr.: 34791166

Inhaltsangabe

Preface.- 1 Preliminaries.- 2 Physical backgrounds.- 3 Problem formulation.- 4 Basic statements.- 5 Non stationary case. Existence theory.- 6 Pressure estimate.- 7 Kinetic theory. Fast density oscillations.-8 Shape sensitivity analysis of non stationary problems.- 9 Shape sensitivity analysis of stationary problems.- 10 Boundary value problems for transport equations.- 11 Appendix.- Bibliography.