Compressible Navier-Stokes Equations Theory and Shape Optimization

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.

Summary

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.

Product details

• Authors: Pavel Plotnikov, Jan Sokolowski, Jan Soko owski, Jan Sokołowski, Pave Plotnikov, Jan Soko¿owski, Jan Sokoowski
• Publisher: Springer, Basel
• Content: Book
• Product form: Paperback / Softback
• Publication date: 01.01.2014
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis
• EAN: 9783034807654
• ISBN: 978-3-0-3480765-4
• Pages: 464
• Illustrations: XVI, 464 p.
• Dimensions (packing): 15.5 x 2.5 x 23.5 cm
• Weight (packing): 730 g
• Series: Monografie Matematyczne > 73; Monografie Matematyczne; Monografie Maematyczne > 73
• Subjects: Analysis, B, Mathematische Physik, Mathematics and Statistics, Mathematical physics, Partial Differential Equations, computational methods;fluid dynamics;modeling