CARLEMAN ESTIMATES FOR A MAGNETOHYDRODYNAMICS SYSTEM AND APPLICATION TO INVERSE SOURCE PROBLEMS

被引：0

作者：

Huang, Xinchi ^{[1
]}

Yamamoto, Masahiro ^{[1
,2
,3
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

[2] Acad Romanian Scientists, Ilfov 3, Bucharest, Romania

[3] Acad Peloritana Pericolanti, Palazzo Univ,Piazza S Pugliatti 1, I-98122 Messina, Italy

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2022年

基金：

中国国家自然科学基金; 日本学术振兴会;

关键词：

viscous incompressible fluid; Carleman esti-mates; inverse source problems; stability; magnetohydrodynamics; EXACT INTERNAL CONTROLLABILITY; LIPSCHITZ STABILITY; EQUATIONS;

D O I：

10.3934/mcrf.2022005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider a linearized magnetohydrodynamics system for incompressible flow in a three-dimensional bounded domain. We first prove two kinds of Carleman estimates. This is done by combining the Carleman estimates for the parabolic and the elliptic equations. Then we apply the Carleman estimates to prove Ho center dot lder type stability results for some inverse source problems.

引用

页码：470 / 499

页数：30

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