Stable and unstable flow regimes for active fluids in the periodic setting
arXiv:2201.05476 · doi:10.1016/j.nonrwa.2022.103707
Abstract
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.
References in corpus (7)
- Meso-scale turbulence in living fluids
- Transition from turbulent to coherent flows in confined three-dimensional active fluids
- Onset of meso-scale turbulence in living fluids
- Taming active turbulence with patterned soft interfaces
- Minimal continuum theories of structure formation in dense active fluids
- Geometry-driven collective ordering of bacterial vortices
- Hydrodynamic length-scale selection and effective viscosity in microswimmer suspensions