Global well-posedness of 3D inhomogenous incompressible Navier-Stokes equations with density-dependent viscosity
| Autor: | Niu, Dongjuan, Wang, Lu |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The issue of global well-posedness for the 3D inhomogenous incompressible Navier-Stokes equations was first addressed by Kazhikov in 1974. In this manuscript, we obtain its global well-posedness for the system with density-dependent viscosity under the smallness assumption of initial velocity in the critical space $\dot{B}_{p,1}^{-1+\frac 3p}$ with $p\in ]1, 9/2]$. To the best of our knowledge, this is the first result about the global well-posedness for which one does not assume any smallness condition on the density when the initial density is far away from vacuum. Comment: 39 Pages. arXiv admin note: substantial text overlap with arXiv:2401.09850 |
| Databáze: | arXiv |
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