INTERACTION OF LIQUID CRYSTALS WITH A RIGID BODY

被引：0

作者：

Binz, Tim ^{[1
]}

Brandt, Felix ^{[2
]}

Hieber, Matthias ^{[2
]}

Roy, Arnab ^{[2
]}

机构：

[1] Princeton Univ, Program Appl & Computat Math, Fine Hall,Washington Rd, Princeton, NJ 08544 USA

[2] Tech Univ Darmstadt, Schlossgartenstr 7, D-64289 Darmstadt, Germany

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年

关键词：

Liquid crystal-rigid body interaction; Ericksen-Leslie model; fluid- structure interaction; strong solutions; convergence to equilibria; WEAK SOLUTIONS; MOTION; EXISTENCE; EQUATIONS; FLOW; DYNAMICS;

D O I：

10.1090/tran/9242

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article investigates the interaction of nematic liquid crystals modeled by a simplified Ericksen-Leslie model with a rigid body. It is shown that this problem is locally strongly well-posed, and that it also admits a unique, global strong solution for initial data close to constant equilibria. The proof of the global strong solution relies on a new splitting method for the director in a mean value zero and average part.

引用

页码：8049 / 8090

页数：42

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