Compressible Navier-Stokes Equations : Theory and Shape Optimization / by Pavel Plotnikov, Jan Soko?owski.
Tipo de material:
TextoSeries Monografie Matematyczne ; 73Editor: Basel : Springer Basel : Imprint: Birkhäuser, 2012Descripción: xvI, 457 páginas 1 ilustraciones en color. recurso en líneaTipo de contenido: - texto
- computadora
- recurso en línea
- 9783034803670
- QA370-380
Springer eBooks
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.
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