Pavel I. Plotnikov - Lavryentyev Institute of Hydrodynamics, Siberian Division of Russian Academy of Sciences, Lavryentyev pr. 15, Novosibirsk 630090, Russian Federation (email)
Abstract: Compressible, stationary Navier-Stokes (N-S) equations are considered. The shape sensitivity analysis is performed in the case of small perturbations of the so-called it approximate solutions. The proposed method of shape sensitivity analysis is general, and can be used to establish the well-posedness for distributed and boundary control problems as well as for inverse problems in the case of the state equations in the form of compressible N-S equations.
Keywords: Compressible Navier-Stokes equations, drag minimization, transport equations
Received: August 2008; Revised: April 2009; Published: September 2009.