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arXiv · 1611.08183

Flocking particles in a non-Newtonian shear thickening fluid

Piotr B. Mucha·Jan Peszek·Milan Pokorny
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Abstract

We prove existence and uniqueness of strong solutions to the Cucker--Smale flocking model coupled with an incompressible viscous non-Newtonian fluid, with the stress tensor of a power--law structure for $p\geq\frac{11}{5}$. The coupling is performed through a drag force on a periodic spatial domain $T^3$.

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Piotr B. Mucha, Jan Peszek, Milan Pokorny. 2016-11-24. Flocking particles in a non-Newtonian shear thickening fluid. https://arxiv.org/abs/1611.08183

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