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Second-order sufficient optimality conditions for the optimal control of instationary Navier-Stokes equations

  1. Fredi Tröltzsch,
  2. Daniel Wachsmuth

Article first published online: 22 DEC 2004

DOI: 10.1002/pamm.200410295

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PAMM

PAMM

Volume 4, Issue 1, pages 628–629, December 2004

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How to Cite

Tröltzsch, F. and Wachsmuth, D. (2004), Second-order sufficient optimality conditions for the optimal control of instationary Navier-Stokes equations. Proc. Appl. Math. Mech., 4: 628–629. doi: 10.1002/pamm.200410295

Author Information

  1. Institut für Mathematik, Technische Universität Berlin, Str. des 17. Juni 136, D-10623 Berlin, Germany

Publication History

  1. Issue published online: 22 DEC 2004
  2. Article first published online: 22 DEC 2004

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References

  • [1]
    F. Abergel and R. Temam. On some control problems in fluid mechanics. Theoret. Comput. Fluid Dynam., 1:303–325, 1990.
  • [2]
    M. D. Gunzburger and S. Manservisi. The velocity tracking problem for Navier-Stokes flows with bounded distributed controls. SIAM J. Contr. Optim., 37:1913–1945, 1999.
  • [3]
    M. Hinze and K. Kunisch. Second order methods for optimal control of time-dependent fluid flow. SIAM J. Contr. Optim., 40:925–946, 2001.
  • [4]
    R. Temam. Navier-Stokes equations. North Holland, Amsterdam, 1979.
  • [5]
    F. Tröltzsch and D. Wachsmuth. Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations. Preprint 30-2003, Institut für Mathematik, TU Berlin, submitted.
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