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arXiv · 2004.00236

Global strong solutions to the inhomogeneous incompressible Navier-Stokes system in the exterior of a cylinder

Zhengguang Guo·Yun Wang·Chunjing Xie
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Abstract

In this paper, the global strong axisymmetric solutions for the inhomogeneous incompressible Navier-Stokes system are established in the exterior of a cylinder subject to the Dirichlet boundary conditions. Moreover, the vacuum is allowed in these solutions. One of the key ingredients of the analysis is to obtain the ${L^{2}(s,T;L^{\infty}(\Omega))}$ bound for the velocity field, where the axisymmetry of the solutions plays an important role.

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Zhengguang Guo, Yun Wang, Chunjing Xie. 2020-04-01. Global strong solutions to the inhomogeneous incompressible Navier-Stokes system in the exterior of a cylinder. https://arxiv.org/abs/2004.00236

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