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

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 ${L^{2}(s,T;L^{\infty}(Ω))}$ bound for the velocity field, where the axisymmetry of the solutions plays an important role.

preprint2020arXivOpen access
Zhengguang GuoYun WangChunjing Xie
math.AP
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Open access3 authors1 topic
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Zhengguang GuoYun WangChunjing Xie

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