ON THE STABILITY OF SELF-PROPELLED BODIES WITH RESPECT TO THEIR SHAPE MOTION

被引：1
|
作者：
Bonnivard, Matthieu [1 ]
机构：
[1] Univ Savoie, Math Lab, F-73376 Le Bourget Du Lac, France
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2011年 / 21卷 / 04期
关键词：
Shape stability; underwater locomotion; PDE-ODE coupled system; WEAK SOLUTIONS; RIGID BODIES; EXISTENCE; STOKES; SYSTEM; FLUID;
D O I：
10.1142/S0218202511005179
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the stability of the trajectories of self-propelled bodies immersed in a fluid at low Reynolds number, with respect to their dynamic shape deformation. We consider both adherence and perfect slip boundary conditions on the moving body. Using shape derivative arguments in association with recent higher order regularity results for the Bogovskii operator, we bring the shape stability question to a finite dimension dynamical system analysis.
引用
收藏
页码：667 / 691
页数：25
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