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Compressible Navier-Stokes Equations: Theory and Shape Optimization de Pavel Plotnikov

Compressible Navier-Stokes Equations: Theory and Shape Optimization: Monografie Matematyczne, cartea 73

Autor Pavel Plotnikov, Jan Sokołowski
en Limba Engleză Paperback – 20 sep 2014
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.
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Specificații

ISBN-13: 9783034807654
ISBN-10: 3034807651
Pagini: 480
Ilustrații: XVI, 464 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.67 kg
Ediția:2012
Editura: Springer
Colecția Birkhäuser
Seria Monografie Matematyczne

Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

First monograph on the mathematical theory of shape optimization for compressible Navier-Stokes equations Clear explanation of the state-of-the-art developments in a mathematical language that will attract mathematicians to open questions in this important field New concepts and results are presented Includes supplementary material: sn.pub/extras