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arXiv · 1910.12942

Anisotropic micropolar fluids subject to a uniform microtorque: the unstable case

Antoine Remond-Tiedrez·Ian Tice
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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.

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Antoine Remond-Tiedrez, Ian Tice. 2019-10-28. Anisotropic micropolar fluids subject to a uniform microtorque: the unstable case. https://arxiv.org/abs/1910.12942

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