P. Plotnikov^{1}, J. Sokołowski^{2},

Theory and Shape Optimization

Series: Monografie Matematyczne

▶ 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.

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