On the temporal estimates for the incompressible Navier-Stokes equations and the Hall-magnetohydrodynamic equations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914225550524416 |
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| author | Bae, Hantaek Jung, Jinwook Shin, Jaeyong |
| author_facet | Bae, Hantaek Jung, Jinwook Shin, Jaeyong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16290 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the temporal estimates for the incompressible Navier-Stokes equations and the Hall-magnetohydrodynamic equations Bae, Hantaek Jung, Jinwook Shin, Jaeyong Analysis of PDEs 35Q85, 35D35 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. |
| title | On the temporal estimates for the incompressible Navier-Stokes equations and the Hall-magnetohydrodynamic equations |
| topic | Analysis of PDEs 35Q85, 35D35 |
| url | https://arxiv.org/abs/2404.16290 |