American Institute of Mathematical Sciences

Advanced
2009, 2009(Special): 602-611. doi: 10.3934/proc.2009.2009.602

Compressible Navier-Stokes equations

Pavel I. Plotnikov 1, and  Jan Sokolowski 2,

1. 

Lavryentyev Institute of Hydrodynamics, Siberian Division of Russian Academy of Sciences, Lavryentyev pr. 15, Novosibirsk 630090, Russian Federation
2. 

Institut Elie Cartan, UMR 7502 (Nancy Université, CNRS, INRIA), Université Henri Poincaré Nancy I, B.P. 239, 54506 Vandoeuvre-lès-Nancy, Cedex, France

Received  August 2008 Revised  April 2009 Published  September 2009

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.
Mathematics Subject Classification: Primary: 76N10; 35Q30; Secondary: 35A15; 76N15.
Citation: Pavel I. Plotnikov, Jan Sokolowski. Compressible Navier-Stokes equations. Conference Publications, 2009, 2009 (Special) : 602-611. doi: 10.3934/proc.2009.2009.602
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