Lipschitz stability estimate for the Stokes system with Robin boundary conditionsReport as inadecuate




Lipschitz stability estimate for the Stokes system with Robin boundary conditions - Download this document for free, or read online. Document in PDF available to download.

1 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 research report, we study the inverse problem of identifying a Robin coefficient defined on some non accessible part of the boundary from measurements available on the other part of the boundary, for u,p solution of the Stokes system. We prove a Lipschitz stability estimate, under the a priori assumption that the Robin coefficient is piecewise constant. To do so, we use unique continuation estimates for the Stokes system proved in BEG12 and the approach developed by E. Sincich in Sin07 to solve a similar inverse problem for the Laplace equation.

Keywords : Lipschitz stability estimate Inverse problem Stokes system Lipschitz stability estimate.





Author: Anne-Claire Egloffe -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents