Compressible Navier-Stokes equations : theory and shape optimization
著者
書誌事項
Compressible Navier-Stokes equations : theory and shape optimization
（Monografie matematyczne, . New series ; v. 73）
Birkhäuser , Springer, c2012
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注記
Includes index
内容説明・目次
内容説明
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.
目次
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.
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