具有保守运动学约束的自推进粒子集体定常运动的稳定性
Stability properties of the collective stationary motion of self-propelling particles with conservative kinematic constraints
摘要：
在我们以前的论文中，我们提出了一个连续模型的动力学的自推进粒子系统的保守运动学约束的速度。我们已经确定了这一流体动力学模型的一类固定的解决方案，并已表明，两种类型的固定流，线性和径向对称（涡）流，是可能的。在本文中，我们考虑这些平稳流的稳定性。我们表明，使用线性稳定性分析，线性解决方案是中性稳定的相对于所施加的速度和密度扰动。对涡解的稳定性进行类似的分析并不能得出结论。
英文摘要：
In our previous papers we proposed a continuum model for the dynamics of the systems of self-propelling particles with conservative kinematic constraints on the velocities. We have determined a class of stationary solutions of this hydrodynamic model and have shown that two types of stationary flow, linear and radially symmetric (vortical) flow, are possible. In this paper we consider the stability properties of these stationary flows. We show, using a linear stability analysis, that the linear solutions are neutrally stable with respect to the imposed velocity and density perturbations. A similar analysis of the stability of the vortical solution is found to be not conclusive.
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