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.
General
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