Pavel Plotnikov, Jan Sokolowski

Compressible Navier-Stokes Equations (eBook, PDF)

Theory and Shape Optimization

• Format: PDF

Produktbeschreibung

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 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

• Verlag: Birkhäuser Basel
• Seitenzahl: 464
• Erscheinungstermin: 4. August 2012
• Englisch
• ISBN-13: 9783034803670
• Artikelnr.: 37796923

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.