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arXiv · 2310.15142

Global Navier-Stokes flows in intermediate spaces

Zachary Bradshaw·Misha Chernobai·Tai-Peng Tsai
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Abstract

We construct global weak solutions of the three dimensional incompressible Navier-Stokes equations in intermediate spaces between the space of uniformly locally square integrable functions and Herz-type spaces which involve weighted integrals centered at the origin. Our results bridge the existence theorems of Lemari\'e-Rieusset and of Bradshaw, Kukavica and Tsai. An application to eventual regularity is included which generalizes the prior work of Bradshaw, Kukavica and Tsai as well as Bradshaw, Kukavica and Ozanski.

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Zachary Bradshaw, Misha Chernobai, Tai-Peng Tsai. 2023-10-23. Global Navier-Stokes flows in intermediate spaces. https://arxiv.org/abs/2310.15142

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