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Unique Continuation and Observability Estimates for 2-D Stokes Equations with the Navier Slip Boundary Condition (1205.5950v1)
Published 27 May 2012 in math.AP and math.OC
Abstract: This paper presents a unique continuation estimate for 2-D Stokes equations with the Naiver slip boundary condition in a bounded and simply connected domain. Consequently, an observability estimate for this equation from a subset of positive measure in time follows from the aforementioned unique continuation estimate and the new strategy developed in [16]. Several applications of the above-mentioned observability estimate to control problems of the Stokes equations are given.
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