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- W4312121812 abstract "We study Kolmogorov's two-equation model of turbulence on $d-$dimensional torus. First, the local existence of the solution with the initial data from non-homogeneous fractional Sobolev spaces (Bessel potential spaces) $H^s$ with $s>frac{d}{2}$ is proven using energy methods. Next, we show that solutions are unique in the class of solutions guaranteed by the local existence theorem." @default.
- W4312121812 created "2023-01-04" @default.
- W4312121812 creator A5043069649 @default.
- W4312121812 date "2022-12-21" @default.
- W4312121812 modified "2023-09-27" @default.
- W4312121812 title "Local well-posedness of Kolmogorov's two-equation model of turbulence in fractional Sobolev Spaces" @default.
- W4312121812 doi "https://doi.org/10.48550/arxiv.2212.11391" @default.
- W4312121812 hasPublicationYear "2022" @default.
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