Turbulence in active fluids caused by self-propulsion

TL;DR

This paper provides a rigorous analytical proof of turbulence in active fluids driven by self-propulsion, demonstrating the existence of unstable wave modes in generalized fluid models.

Contribution

It introduces a novel analytical approach in Fourier Radon measure spaces to justify turbulence phenomena in active fluids.

Findings

Existence of unstable wave modes in generalized Stokes and Navier-Stokes systems.

Analytical framework developed for turbulence in active fluids.

Proof of turbulence caused by self-propulsion mechanisms.

Abstract

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.