Stable and unstable flow regimes for active fluids in the periodic setting

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 corresponding regimes given. particular, occurring instability for manifold ordered polar states caused by self-propulsion proved. This represents prerequisite turbulence patterns as observed number applications. The approach carried out periodic setting and based generalized principle linearized (in)-stability related to normally hyperbolic equilibria.