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On a vorticity minimization problem for the stationary 2D Stokes equations

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Abstract

This paper is concerned with a boundary control problem for the vorticity minimization, in which the flow is governed by the stationary two dimensional Stokes equations. We wish to find a mathematical formulation and a relevant process for an appropriate control along the part of the boundary to minimize the vorticity due to the flow. After showing the existence and uniqueness of an optimal solution, we derive the optimality conditions. The differentiability of the state solution in regard to the control parameter shall be conjunct with the necessary conditions for the optimal solution. For the minimizer, an algorithm based on the conjugate gradient method shall be proposed.

참고문헌 (9)

  1. "\it On some control problems in fluid mechanics}", pp.303~ (1990)
  2. "it On traces for $H $ in Lipschitz domains}", pp.845~ (2002), Buffa} A. Buffa
  3. "\it Lectures on optimization--theory and algorithms} Tata Institute of Fundamental Research Lectures on Mathematics and Physics Tata Institute of Fundamental Research" (1978)
  4. "\it Introduction to numerical linear algebra and optimization}" (1991), Cambridge University Press
  5. "\it Mathematical analysis and numerical methods for science andtechnology}", 6. etion problems. ii (1993), Springer-Verlag
  6. "\it On Some Finite Element Methods for the Numerical Simulationof Incompressible Viscous Flow}", pp.17~ (1993), IncompressibleComputational Fluid Dynamics Trends and Advances Cambridge University Press
  7. "\it Finite element methods for Navier-Stokes equations}", girault and p. raart (1986), Theoryand algorithms. Springer-Verlag
  8. "\it The mathematical theory of viscous incompressible flow}" (1963), Gordon and Breach Science Publishers
  9. "\it Hilbert space methods for partial differential equations} Electronic reprint of the 1977 original Electronic Monographs in Differential Equations" (1994)

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