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arXiv · 2401.05241

Flow Representation of the Navier-Stokes Equations in Weighted Sobolev Spaces

Sekson Sirisubtawee·Naowarat Manitcharoen·Chukiat Saksurakan
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Abstract

Using Constantin-Iyer representation also known more generally as Euler-Lagrangian approach, we prove the local existence of the Navier-Stokes equations in weighted Sobolev spaces with external forcing on $\mathbf{R}^{d}$, for any dimension $d$ and $p$ such that $p>d\geq2$.

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Sekson Sirisubtawee, Naowarat Manitcharoen, Chukiat Saksurakan. 2024-01-10. Flow Representation of the Navier-Stokes Equations in Weighted Sobolev Spaces. https://arxiv.org/abs/2401.05241

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