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arxiv: 1802.01519 · v1 · pith:POFXD3UJnew · submitted 2018-02-05 · 🧮 math.AP

Turbulence in active fluids caused by self-propulsion

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keywords activecausedfluidsself-propulsionturbulenceanalyticalapproachdeveloping
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A rigoros analytical justification of turbulence observed in active fluids and caused by self-propulsion is presented. We prove existence of unstable wave modes for the generalized Stokes and Navier-Stokes systems by developing an approach in spaces of Fourier transformed Radon measures.

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