P. Plotnikov, J. Sokołowski, Compressible Navier-Stokes Equations

P. Plotnikov1, J. Sokołowski2,
Compressible Navier-Stokes Equations
Theory and Shape Optimization
Series: Monografie Matematyczne
Compressible-i▶ 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
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.
1 Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia;
2 Institut Elie Cartan, Vandoeuvre Lès Nancy, France