Vietnam Journal of Agricultural Sciences, T. 1, S. 4 (2018)

Cỡ chữ:  Nhỏ  Vừa  Lớn

A Stability Estimate for Robin Boundary Coefficients in Stokes Fluid Flows


Tóm tắt

    In this report, we examine the unsteady Stokes equations with non-homogeneous boundary conditions. As an application of a Carleman estimate, we first establish log type stabilities for the solution of the equations from either an interior measurement of the velocity, or a boundary observation depending on the trace of the velocity and of the Cauchy stress tensor measurements on a part of the boundary. We then consider the inverse problem of determining the time-independent Robin coefficient from a measurement of the solution and of Cauchy data on a sub-boundary.    

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