On the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes system with density-dependent viscosity
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913199467528192 |
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| author | Niu, Dongjuan Wang, Lu |
| author_facet | Niu, Dongjuan Wang, Lu |
| contents | In this paper, we are concerned with the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity when the initial velocity is sufficiently small in the critical Besov space $\dot{B}^{\frac 12}$. Compared with the previous result of Abidi and Zhang (Science China Mathematics 58 (6) (2015) 1129-1150), we remove the smallness assumption of the viscosity $μ(ρ_0)-1$ in $L^{\infty}$-norm. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_09850 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes system with density-dependent viscosity Niu, Dongjuan Wang, Lu Analysis of PDEs 35Q30, 76D03 In this paper, we are concerned with the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity when the initial velocity is sufficiently small in the critical Besov space $\dot{B}^{\frac 12}$. Compared with the previous result of Abidi and Zhang (Science China Mathematics 58 (6) (2015) 1129-1150), we remove the smallness assumption of the viscosity $μ(ρ_0)-1$ in $L^{\infty}$-norm. |
| title | On the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes system with density-dependent viscosity |
| topic | Analysis of PDEs 35Q30, 76D03 |
| url | https://arxiv.org/abs/2401.09850 |