ON THE CONTROLLABILITY OF THE 2-D VLASOV-STOKES SYSTEM

被引：1
|
作者：
Moyano, Ivan [1 ]
机构：
[1] Ecole Polytech, UMR 7640, Ctr Math Laurent Schwartz, Palaiseau, France
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2017年 / 15卷 / 03期
关键词：
Vlasov-Stokes system; kinetic-theory; kinetic-fluid model; controllability; return method; POISSON SYSTEM; REGULARITY; AEROSOLS; LIMIT;
D O I：
10.4310/CMS.2017.v15.n3.a7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove an exact controllability result for the Vlasov-Stokes system in the two-dimensional torus with small data by means of an internal control. We show that one can steer, in arbitrarily small time, any initial datum of class l(1) satisfying a smallness condition in certain weighted spaces to any final state satisfying the same conditions. The proof of the main result is achieved thanks to the return method and a Leray-Schauder fixed-point argument.
引用
收藏
页码：711 / 743
页数：33
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