Back to Search
Start Over
Anisotropic micropolar fluids subject to a uniform microtorque: the unstable case
- Publication Year :
- 2019
-
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 $L^2$-level.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1910.12942
- Document Type :
- Working Paper