Inverse source problem for linearized Navier-Stokes equations with data in arbitrary sub-domain

被引：24

作者：

Choulli, Mourad ^{[1
]}

Imanuvilov, Oleg Yu. ^{[2
]}

Puel, Jean-Pierre ^{[3
,4
]}

Yamamoto, Masahiro ^{[3
]}

机构：

[1] Univ Lorraine, UMR 7122, LMAM, F-57045 Metz 1, France

[2] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

[3] Univ Tokyo, Dept Math Sci, Meguro Ku, Tokyo 1538914, Japan

[4] Univ Versailles St Quentin, Lab Math Appl, F-78035 Versailles, France

来源：

APPLICABLE ANALYSIS | 2013年 / 92卷 / 10期

关键词：

inverse source problem; Navier-Stokes equations; Carleman estimate; Lipschitz stability; LOGARITHMIC STABILITY; EXACT CONTROLLABILITY; LIPSCHITZ STABILITY; MAXWELLS EQUATIONS; HYPERBOLIC PROBLEM; UNIQUENESS;

D O I：

10.1080/00036811.2012.718334

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an inverse problem of determining a spatially varying factor in a source term in the non-stationary linearized Navier-Stokes equations by observation data in an arbitrarily fixed sub-domain over some time interval. We prove the Lipschitz stability provided that the t-dependent factor satisfies a non-degeneracy condition. Our proof is based on a new Carleman estimate for the linearized Navier-Stokes equations.

引用

页码：2127 / 2143

页数：17

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