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A Stability Estimate for Robin Boundary Coefficients in Stokes Fluid Flows
1Faculty of Information Technology, Vietnam National University of Agriculture, Hanoi 131000, Vietnam
Received: Feb 18, 2019 /
Revised: Jul 12, 2021 /
Published: Mar 18, 2019
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Abstract
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.
Keywords:
inverse problems, Carleman inequality, Stokes equation, Stability estimate
Article Details
How to Cite
Sang, P., & Dung, N. (2019). A Stability Estimate for Robin Boundary Coefficients in Stokes Fluid Flows. Vietnam Journal of Agricultural Sciences, 1(4), 289-304. https://doi.org/10.31817/vjas.2018.1.4.05
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