Shape Optimization in Viscous Compressible Fluids

Applied Mathematics & Optimization - Tập 47 - Trang 59-78 - 2002
Feireisl1
1Mathematical Institute AV ČR, Žitná 25, 115 67 Praha 1, Czech Republic [email protected], , CZ

Tóm tắt

Abstract. We present a method for solving the optimal shape problems for profiles surrounded by viscous compressible fluids. The class of admissible profiles is quite general including the minimal volume condition and a constraint on the thickness of the boundary. The fluid flow is modelled by the Navier—Stokes system for a general viscous barotropic fluid.