Pavel Plotnikov,
Jan Sokołowski
Springer Basel
2012e druk, 2012
9783034803663
Compressible Navier-Stokes Equations
Theory and Shape Optimization
Specificaties
Gebonden, 464 blz.
|
Engels
Springer Basel |
2012e druk, 2012
ISBN13: 9783034803663
Rubricering
Onderdeel van serie
Monografie Matematyczne
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783034803663
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:464
Uitgever:Springer Basel
Druk:2012
Serie:Monografie Matematyczne
Inhoudsopgave
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.