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arXiv · 2312.00829

Density of weak solutions of the fractional Navier-Stokes equations in the smooth divergence-free vector fields

Michele Gorini
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Abstract

In this paper, we consider the fractional Navier-Stokes equations. We extend a previous non-uniqueness result due to Cheskidov and Luo, found in [5], from Navier-Stokes to the fractional case, and from $L^1$-in-time, $W^{1,q}$-in-space solutions for every $q > 1$ to $L^s$-in-time, $W^{1,q}$-in-space solutions for appropriate ranges of $s,q$.

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Michele Gorini. 2023-11-27. Density of weak solutions of the fractional Navier-Stokes equations in the smooth divergence-free vector fields. https://doi.org/10.3934/eect.2024043

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