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- W4387075797 abstract "Inspired by some experimental (numerical) works on fractional diffusion PDEs, we develop a rigorous framework to prove that solutions to the fractional Navier-Stokes equations, which involve the fractional Laplacian operator $(-Delta)^{frac{alpha}{2}}$, converge to a solution of the classical case, with the classical Laplacian operator, when $alpha$ goes to $2$. Precisely, in the setting of mild solutions, we prove a uniform convergence in both the time and spatial variables and derive a convergence rate." @default.
- W4387075797 created "2023-09-27" @default.
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- W4387075797 date "2023-09-24" @default.
- W4387075797 modified "2023-09-28" @default.
- W4387075797 title "From non-local to local Navier-Stokes equations" @default.
- W4387075797 doi "https://doi.org/10.48550/arxiv.2309.13784" @default.
- W4387075797 hasPublicationYear "2023" @default.
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