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arXiv · 1905.07524

Global large solutions for the Navier-Stokes equations with the Coriolis force

Jinlu Li·Jinyi Sun·Minghua Yang
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Abstract

In this paper, we construct a class of global large solution to the three-dimensional Navier-Stokes equations with the Coriolis force in critical Fourier-Besov space $\dot{FB}^{2-\frac{3}{p}}_{p,r}(\mathbb{R}^3)$. In fact, our choice of special initial data $u_0$ can be arbitrarily large in $\dot{FB}^{s}_{p,r}(\mathbb{R}^3)$ for any $s\in\mathbb{R}$ and $1\leq p,r\leq \infty$.

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Jinlu Li, Jinyi Sun, Minghua Yang. 2019-05-18. Global large solutions for the Navier-Stokes equations with the Coriolis force. https://arxiv.org/abs/1905.07524

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