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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.06889 |
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| _version_ | 1866911366388908032 |
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| author | Liang, Chen Luo, Zhaonan Yin, Zhaoyang |
| author_facet | Liang, Chen Luo, Zhaonan Yin, Zhaoyang |
| contents | In this paper, we consider the global regularity and the optimal time decay rate for the 2D isentropic hypo-viscous compressible Navier-Stokes equations. Firstly, we prove that there exists a global strong solution with the small initial data are close to the constant equilibrium state in $H^s$ framework with $s>1$. Furthermore, by virtue of improved Fourier splitting method and the Littlewood-Paley decomposition theory, we then establish the optimal time decay rate for low regularity data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06889 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Global regularity and sharp decay to the 2D Hypo-Viscous compressible Navier-Stokes equations Liang, Chen Luo, Zhaonan Yin, Zhaoyang Analysis of PDEs In this paper, we consider the global regularity and the optimal time decay rate for the 2D isentropic hypo-viscous compressible Navier-Stokes equations. Firstly, we prove that there exists a global strong solution with the small initial data are close to the constant equilibrium state in $H^s$ framework with $s>1$. Furthermore, by virtue of improved Fourier splitting method and the Littlewood-Paley decomposition theory, we then establish the optimal time decay rate for low regularity data. |
| title | Global regularity and sharp decay to the 2D Hypo-Viscous compressible Navier-Stokes equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.06889 |