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

页码：711 / 743

页数：33

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