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arXiv · 2404.16290

On the temporal estimates for the incompressible Navier-Stokes equations and the Hall-magnetohydrodynamic equations

Hantaek Bae·Jinwook Jung·Jaeyong Shin
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Abstract

In this paper, we derive decay rates for solutions to the incompressible Navier-Stokes equations and Hall-magnetohydrodynamic equations. We first improve the decay rate of weak solutions to these equations by refining the Fourier splitting method with initial data in the space of pseudo-measures. Additionally, we investigate these equations with initial data in the Lei-Lin spaces and establish decay rates for those solutions.

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Hantaek Bae, Jinwook Jung, Jaeyong Shin. 2024-04-25. On the temporal estimates for the incompressible Navier-Stokes equations and the Hall-magnetohydrodynamic equations. https://arxiv.org/abs/2404.16290

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