Boundary Value Problems and Optimal Boundary Control for the Navier--Stokes System: the Two-Dimensional Case
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چکیده
منابع مشابه
Boundary Value Problems and Optimal Boundary Control for the Navier–stokes System: the Two-dimensional Case∗
We study optimal boundary control problems for the two-dimensional Navier–Stokes equations in an unbounded domain. Control is effected through the Dirichlet boundary condition and is sought in a subset of the trace space of velocity fields with minimal regularity satisfying the energy estimates. An objective of interest is the drag functional. We first establish three important results for inho...
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Abstract. Optimal boundary control problems for the three-dimensional, evolutionary Navier– Stokes equations in the exterior of a bounded domain are studied. Control is effected through the Dirichlet boundary condition and is sought in a subset of the trace space of velocity fields with almost minimal possible regularity. The control objective is to minimize the drag functional. The existence o...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 1998
ISSN: 0363-0129,1095-7138
DOI: 10.1137/s0363012994273374