Global solutions to the rotating Navier–Stokes equations with large data in the critical Fourier–Besov spaces

Mikihiro Fujii

Mathematische Nachrichten, 2024, vol. 297, issue 5, 1678-1693

Abstract: We consider the initial value problem for the 3D incompressible Navier–Stokes equations with the Coriolis force. The aim of this paper is to prove the existence of a unique global solution with arbitrarily large initial data in the scaling critical Fourier–Besov spaces Ḃ̂p,σ3p−1(R3)3$\widehat{\dot{B}}{}_{p,\sigma}^{\frac{3}{p}-1}(\mathbb {R}^3)^3$ (2⩽p

Date: 2024
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https://doi.org/10.1002/mana.202300226

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:297:y:2024:i:5:p:1678-1693

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