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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We deal with a boundary control problem for the vorticity minimization, in which the flow is governed by the time-dependent two dimensional incompressible Navier-Stokes equations. We derive a mathematical formulation and a process for an appropriate control along the portion of the boundary to minimize the vorticity motion due to the flow in the fluid domain. After showing the existence of an optimal solution, we derive the optimality system for which optimal solutions may be determined. The differentiability of the state solution in regard to the control parameter shall be conjunct with the necessary conditions for the optimal solutions.
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참고문헌 (13)
참고문헌 신청
A. Buffa / 2002 / On traces for H(curl;) in Lips-chitz domains / J. Math. Anal. Appl. 276 : 845 ~ 867
A. V. Fursikov / 1998 / Boundary vlue problems and optimal boundary control for the Navier-Stokes system: The two-dimensional case / SIAM J. Cont. Optim. 36 (3) : 852 ~ 894
F. Abergel / 1990 / On some control problems in uid mechanics / Theoretical and Computational Fluid Dynamics 1 : 303 ~ 325
J.-L. Lions / 1968 / Quelques m ethodes de r esolution des probl emes aux limites non lin eaires / Dunod
M. Gunzburger / 2000 / The velocity tracking problem for Navier-Stokes ows with boundary control / SIAM J. Cont. Optim. 39 (2) : 594 ~ 634
A. V. Fursikov / 1998 / Boundary vlue problems and optimal boundary control for the Navier-Stokes system: The two-dimensional case / SIAM J. Cont. Optim. 36 (3) : 852 ~ 894
F. Abergel / 1990 / On some control problems in uid mechanics / Theoretical and Computational Fluid Dynamics 1 : 303 ~ 325
J.-L. Lions / 1968 / Quelques m ethodes de r esolution des probl emes aux limites non lin eaires / Dunod
M. Gunzburger / 2000 / The velocity tracking problem for Navier-Stokes ows with boundary control / SIAM J. Cont. Optim. 39 (2) : 594 ~ 634
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