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Stability estimates for a Robin coefficient in the two-dimensional Stokes system

Muriel Boulakia 1, 2 Anne-Claire Egloffe 2, * Céline Grandmont 2
* Corresponding author
2 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
Abstract : In this paper, we consider the Stokes equations and we are concerned with the inverse problem of identifying a Robin coefficient on some non accessible part of the boundary from available data on the other part of the boundary. We first study the identifiability of the Robin coefficient and then we establish a stability estimate of logarithm type thanks to a Carleman inequality due to A. L. Bukhgeim and under the assumption that the velocity of a given reference solution stays far from 0 on a part of the boundary where Robin conditions are prescribed.
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Submitted on : Tuesday, December 4, 2012 - 2:52:49 PM
Last modification on : Friday, January 21, 2022 - 3:22:05 AM
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  • HAL Id : hal-00582559, version 3
  • ARXIV : 1202.1263


Muriel Boulakia, Anne-Claire Egloffe, Céline Grandmont. Stability estimates for a Robin coefficient in the two-dimensional Stokes system. Mathematical Control and Related Fields, AIMS, 2013, 3 (1), ⟨hal-00582559v3⟩



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