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arXiv · 2407.10751

On Green's function of the vorticity formulation for the 3D Navier-Stokes equations

Igor Kukavica·Fei Wang·Yichun Zhu
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Abstract

We give a novel vorticity formulation for the 3D Navier-Stokes equations with Dirichlet boundary conditions. Via a resolvent argument, we obtain Green's function and establish an upper bound, which is the 3D analog of [24]. Moreover, we prove similar results for the corresponding Stokes problem with more general mixed boundary conditions.

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Igor Kukavica, Fei Wang, Yichun Zhu. 2024-07-15. On Green's function of the vorticity formulation for the 3D Navier-Stokes equations. https://arxiv.org/abs/2407.10751

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