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arXiv · 2604.21217

Temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force

Tomoaki Yoshizawa
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Abstract

We consider temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force. We show that under several conditions including the smallness of the initial data, the solution decays as fast as the corresponding linearized solutions, and its decay rate is higher than expected from the flow of the heat equation. The estimates are derived for all $L^p$-norms with $p\in[2, \infty].$

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Tomoaki Yoshizawa. 2026-04-23. Temporal decay estimates for global solutions of the Navier-Stokes equations with the Coriolis force. https://arxiv.org/abs/2604.21217

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