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Compressible Navier-Stokes Equations : Theory and Shape Optimization
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| 概要 | 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.続きを見る |
| 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.続きを見る |
| 冊子版へのリンク | https://hdl.handle.net/2324/1001486175 |
| 本文を見る | Springer Mathematics and Statistics eBooks 2012 English/International: 2012 |
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| 登録日 | 2023.09.29 |
| 更新日 | 2024.01.30 |