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plotnikov pavel; sokolowski jan - compressible navier-stokes equations
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Compressible Navier-Stokes Equations Theory and Shape Optimization

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Birkhäuser

Pubblicazione: 09/2014





Trama

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.




Sommario

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.










Altre Informazioni

ISBN:

9783034807654

Condizione: Nuovo
Collana: Monografie Matematyczne
Dimensioni: 235 x 155 mm
Formato: Brossura
Illustration Notes:XVI, 464 p.
Pagine Arabe: 464
Pagine Romane: xvi


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