Geodesic
Global existence of the strong solution to the 3D incompressible micropolar equations with fractional partial dissipation
Canadian journal of mathematics, Tome 75 (2023) no. 5, pp. 1516-1539

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DOI

In this paper, we considered the global strong solution to the 3D incompressible micropolar equations with fractional partial dissipation. Whether or not the classical solution to the 3D Navier–Stokes equations can develop finite-time singularity remains an outstanding open problem, so does the same issue on the 3D incompressible micropolar equations. We establish the global-in-time existence and uniqueness strong solutions to the 3D incompressible micropolar equations with fractional partial velocity dissipation and microrotation diffusion with the initial data $(\mathbf {u}_0,\ \mathbf {w}_0)\in H^1(\mathbb {R}^3)$.
DOI : 10.4153/S0008414X22000414
Mots-clés : Incompressible micropolar, gractional, partial dissipation 
Liu, Yujun. Global existence of the strong solution to the 3D incompressible micropolar equations with fractional partial dissipation. Canadian journal of mathematics, Tome 75 (2023) no. 5, pp. 1516-1539. doi: 10.4153/S0008414X22000414
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     title = {Global existence of the strong solution to the {3D} incompressible micropolar equations with fractional partial dissipation},
     journal = {Canadian journal of mathematics},
     pages = {1516--1539},
     year = {2023},
     volume = {75},
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