Compressible Navier-Stokes Equations

Theory and Shape Optimization

AvPavel Plotnikov,Jan Sokołowski

Inbunden, Engelska, 2012

Del i serien Monografie Matematyczne

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2012-08-04
Mått:155 x 235 x 31 mm
Vikt:881 g
Format:Inbunden
Språk:Engelska
Serie:Monografie Matematyczne
Antal sidor:464
Upplaga:2012
Förlag:Springer Basel
ISBN:9783034803663

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

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.