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arXiv · 2404.08420

Global Large Solution to Navier-Stokes and SQG Equations with Time Oscillation

Yiran Xu·Haina Li
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Abstract

In this paper, we consider the model of 3D incompressible Navier-Stokes equations and 2D supercritical Surface Quasi-Geostrophic equations with time oscillation in the nonlinear term. We obtain that there exists global smooth solution of these two equations for any initial data $u_0\in H^2$.

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Yiran Xu, Haina Li. 2024-04-12. Global Large Solution to Navier-Stokes and SQG Equations with Time Oscillation. https://arxiv.org/abs/2404.08420

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