Logarithmic stability estimates for a Robin coefficient in two dimensional Stokes problem

Muriel Boulakia (1, 2) , Anne-Claire Egloffe (2) , Céline Grandmont (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 REO - Numerical simulation of biological flows

We are concerned here with identifiability, stability properties and estimates for the inverse problem of identifying a Robin coefficient on some non accessible part of the boundary from available data on the other part of boundary corresponding to solutions of the Stokes equations. We first study the identifiability of Robin coefficient and then we establish a stability estimate of logarithm type using Carleman inequality.

Mots clés: Logarithmic stability estimate; Inverse boundary coefficient problem; Stokes system; Robin boundary condition; Identifiability; Carleman inequality; Logarithmic stability estimate.

Domaines: Equations aux dérivées partielles [math.AP]

Muriel Boulakia, Anne-Claire Egloffe, Céline Grandmont. Logarithmic stability estimates for a Robin coefficient in two dimensional Stokes problem. 2011. ⟨hal-00582559v1⟩