Anisotropic micropolar fluids subject to a uniform microtorque: the unstable case
Analysis of PDEs
2020-10-01 v2
Abstract
We study a three-dimensional, incompressible, viscous, micropolar fluid with anisotropic microstructure on a periodic domain. Subject to a uniform microtorque, this system admits a unique nontrivial equilibrium. We prove that this equilibrium is nonlinearly unstable. Our proof relies on a nonlinear bootstrap instability argument which uses control of higher-order norms to identify the instability at the -level.
Keywords
Cite
@article{arxiv.1910.12942,
title = {Anisotropic micropolar fluids subject to a uniform microtorque: the unstable case},
author = {Antoine Remond-Tiedrez and Ian Tice},
journal= {arXiv preprint arXiv:1910.12942},
year = {2020}
}