Flocking particles in a non-Newtonian shear thickening fluid

被引：11

作者：

Mucha, Piotr B. ^{[1
]}

Peszek, Jan ^{[1
]}

Pokorny, Milan ^{[2
]}

机构：

[1] Univ Warsaw, Inst Appl Math & Mech, Ul Banacha 2, PL-02097 Warsaw, Poland

[2] Charles Univ Prague, Fac Math & Phys, Sokolovska 83, Prague 18675, Czech Republic

来源：

NONLINEARITY | 2018年 / 31卷 / 06期

关键词：

Cucker-Smale power-law system; existence of solutions; time asymptotics; regular solutions; NAVIER-STOKES EQUATIONS; CUCKER-SMALE FLOCKING; ASYMPTOTIC FLOCKING; HYDRODYNAMIC LIMIT; GLOBAL EXISTENCE; MODEL; VLASOV; DYNAMICS; SYSTEM; BEHAVIOR;

D O I：

10.1088/1361-6544/aab594

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of strong solutions to the Cucker-Smale flocking model coupled with an incompressible viscous non-Newtonian fluid with the stress tensor of a power-law structure for p >= 11/5. The fluid part of the system admits strong solutions while the solutions to the CS part are weak. The coupling is performed through a drag force on a periodic spatial domain T-3. Additionally, we construct a Lyapunov functional determining the large time behavior of solutions to the system.

引用

页码：2703 / 2725

页数：23

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