On the Motion of a Nearly Incompressible Viscous Fluid Containing a Small Rigid Body

被引：1

作者：

Feireisl, Eduard ^{[1
]}

Roy, Arnab ^{[2
]}

Zarnescu, Arghir ^{[3
,4
,5
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, Zitna 25, Prah 1, Czech Republic

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

[3] Basque Ctr Appl Math, BCAM, Mazarredo 14, E-48009 Bilbao, Spain

[4] Basque Fdn Sci, IKERBASQUE, Plaza Euskadi 5, Bilbao 48009, Spain

[5] Romanian Acad, Simion Stoilow Inst, 21 Calea Grivitei, Bucharest 010702, Romania

来源：

JOURNAL OF NONLINEAR SCIENCE | 2023年 / 33卷 / 05期

关键词：

Fluid-structure interaction; Compressible fluid; Small body motion; Low Mach number limit; WEAK SOLUTIONS; IDEAL FLOW;

D O I：

10.1007/s00332-023-09949-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the motion of a compressible viscous fluid containing a moving rigid body confined to a planar domain Q ? R-2. The main result states that the influence of the body on the fluid is negligible if (i) the diameter of the body is small and (ii) the fluid is nearly incompressible (the low Mach number regime). The specific shape of the body as well as the boundary conditions on the fluid-body interface are irrelevant and collisions with the boundary ? Q are allowed. The rigid body motion may be enforced externally or governed solely by its interaction with the fluid.

引用

页数：18

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