Compressible Navier-Stokes Equations
Theory and Shape Optimization| By: | Pavel Plotnikov; Jan Sokołowski |
| Publisher: | Springer Nature |
| Print ISBN: | 9783034803663 |
| eText ISBN: | 9783034803670 |
| Edition: | 0 |
| Copyright: | 2012 |
| Format: | Page Fidelity |
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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.