论文标题
在周期性环境中进行活性流体的稳定且不稳定的流动度
Stable and unstable flow regimes for active fluids in the periodic setting
论文作者
论文摘要
根据所涉及的生理生物学参数，观察到活性流体的稳定或不稳定行为。在本文中，给出了对相应制度内（IN-）稳定性的严格分析依据。特别是，证明了由自我推广引起的有序极性状态的流形的不稳定。这代表了许多应用中观察到的主动湍流模式的先决条件。该方法在周期性环境中进行，并基于与正常稳定和正常双曲线平衡有关的线性化（IN）稳定性的普遍原理。
Depending on the involved physiobiological parameters, stable or unstable behavior in active fluids is observed. In this paper a rigorous analytical justification of (in-)stability within the corresponding regimes is given. In particular, occuring instability for the manifold of ordered polar states caused by self-propulsion is proved. This represents the prerequisite for active turbulence patterns as observed in a number of applications. The approach is carried out in the periodic setting and is based on the generalized principle of linearized (in)-stability related to normally stable and normally hyperbolic equilibria.
