Some Extremum and Unilateral Boundary Value Problems in Viscous Hydrodynamics

  • G. V. Alekseyev
  • A. Yu. Chebotarev
Chapter
Part of the International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique book series (ISNM, volume 106)

Abstract

This paper is concerned with investigation of direct and inverse problems for the stationary Stokes system. At first we prove the unique solvability of a direct unilateral boundary value problem and establish some properties of the solution. Then we formulate problems which are inverse to the direct problem and investigate the solvability of one inverse extremum problem.

Key words

Stokes system unilateral boundary value problem inverse extremum problem variational inequality 
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Copyright information

© Springer Basel AG 1992

Authors and Affiliations

  • G. V. Alekseyev
    • 1
  • A. Yu. Chebotarev
    • 1
  1. 1.Institute of Applied MathematicsVladivostokRussia

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