Stable and unstable flow regimes for active fluids in the periodic setting
Analysis of PDEs
2023-08-03 v1
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.
Keywords
Cite
@article{arxiv.2201.05476,
title = {Stable and unstable flow regimes for active fluids in the periodic setting},
author = {Christiane Bui and Christian Gesse and Jürgen Saal},
journal= {arXiv preprint arXiv:2201.05476},
year = {2023}
}