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arXiv · 1604.02081

Analysis of a Living Fluid Continuum Model

Florian Zanger·Hartmut Löwen·Jürgen Saal
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Abstract

Generalized Navier-Stokes equations which were proposed recently to describe active turbulence in living fluids are analyzed rigorously. Results on wellposedness and stability in the $L^2(\mathbb{R}^n)$-setting are derived. Due to the presence of a Swift-Hohenberg term global wellposedness in a strong setting for arbitrary initial data in $L^2_σ(\mathbb{R}^n)$ is available. Based on the existence of global strong solutions, results on linear and nonlinear (in-) stability for the disordered steady state and the manifold of ordered polar steady states are derived, depending on the involved parameters.

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Florian Zanger, Hartmut Löwen, Jürgen Saal. 2016-04-07. Analysis of a Living Fluid Continuum Model. https://arxiv.org/abs/1604.02081

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