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＜電子ブック＞
Compressible Navier-Stokes Equations : Theory and Shape Optimization / by Pavel Plotnikov, Jan Sokołowski
(Monografie Matematyczne. ISSN:22970274 ; 73)

版	1st ed. 2012.
出版者	(Basel : Springer Basel : Imprint: Birkhäuser)
出版年	2012
本文言語	英語
大きさ	XVI, 464 p : online resource
著者標目	*Plotnikov, Pavel author Sokołowski, Jan author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Mathematical physics FREE:Differential Equations FREE:Mathematical Physics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-0348-0367-0

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