Unique Continuation and Observability Estimates for 2-D Stokes Equations with the Navier Slip Boundary Condition

2012/05/27 by Yuning Liu, Can Zhang, Liu, Yuning +1
Engineering · Computer Science · Physics and Astronomy · #Stability and Controllability of Differential Equations #Advanced Mathematical Modeling in Engineering #Model Reduction and Neural Networks

paper · pdf · doi:10.48550/arxiv.1205.5950

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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