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Birkhäuser - Birkhäuser Mathematics | Compressible Navier-Stokes Equations - Theory and Shape Optimization

Compressible Navier-Stokes Equations

Theory and Shape Optimization

Series: Monografie Matematyczne, Vol. 73

Plotnikov, Pavel, Sokołowski, Jan

2012, XVI, 464 p.

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  • 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.

Content Level » Research

Keywords » computational methods - fluid dynamics - modeling

Related subjects » Birkhäuser Mathematics

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