STABILITY ESTIMATES FOR A ROBIN COEFFICIENT IN THE TWO-DIMENSIONAL STOKES SYSTEM

被引：10

作者：

Boulakia, Muriel ^{[1
]}

Egloffe, Anne-Claire

Grandmont, Celine

机构：

[1] Univ Paris 06, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2013年 / 3卷 / 01期

关键词：

Inverse boundary coefficient problem; Stokes system; Robin boundary condition; identifiability; Carleman inequality; logarithmic stability estimate; BOUNDARY COEFFICIENT; STABLE DETERMINATION; BLOOD-FLOW;

D O I：

10.3934/mcrf.2013.3.21

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 [11] 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.

引用

页码：21 / 49

页数：29

共 25 条

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