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- W2138658270 abstract "We estimate the parabolic fractal (or parabolic box-counting) dimension of the singular set for suitable weak solutions of the Navier–Stokes equations in a bounded domain D. We prove that the parabolic fractal dimension is bounded by 45/29 improving an earlier result from (Kukavica 2009 Nonlinearity 22 2889–900). Also, we introduce the new (parabolic) λ-fractal dimension, where λ is a parameter, which for λ = 1 agrees with the parabolic fractal and for λ = ∞ with the parabolic Hausdorff dimension. We prove that for a certain range of λ, the dimension of the singular set is bounded by 3/2." @default.
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- W2138658270 date "2012-08-21" @default.
- W2138658270 modified "2023-10-18" @default.
- W2138658270 title "An estimate on the parabolic fractal dimension of the singular set for solutions of the Navier–Stokes system" @default.
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- W2138658270 doi "https://doi.org/10.1088/0951-7715/25/9/2775" @default.
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