Preliminaries -- Physical background -- Problem formulation -- Basic statements -- Nonstationary case. Existence theory -- Pressure estimate -- Kinetic theory. Fast density oscillations -- Domain convergence -- Flow around an obstacle. Domain dependence -- Existence theory in nonsmooth domains. Shape optimization, continuity of the work functional -- Sensitivity analysis. Shape gradient of the drag functional -- Boundary value problems for transport equations -- Appendix
Summary
Annotation The first monograph on the mathematical theory of shape optimization for compressible Navier-Stokes equations, this publication offers clear explanations of cutting-edge developments in a mathematical language that will foster research in this important field
