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• W3014668379 abstract "The question of energy concentration in approximate solution sequences $$u^epsilon $$ , as $$epsilon rightarrow 0$$ , of the two-dimensional incompressible Euler equations with vortex-sheet initial data is revisited. Building on a novel identity for the structure function in terms of vorticity, the vorticity maximal function is proposed as a quantitative tool to detect concentration effects in approximate solution sequences. This tool is applied to numerical experiments based on the vortex-blob method, where vortex sheet initial data without distinguished sign are considered, as introduced in Krasny (J Fluid Mech 167:65–93, 1986). Numerical evidence suggests that no energy concentration appears in the limit of zero blob-regularization $$epsilon rightarrow 0$$ , for the considered initial data." @default.
• W3014668379 created "2020-04-10" @default.
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• W3014668379 date "2023-03-15" @default.
• W3014668379 modified "2023-10-16" @default.
• W3014668379 title "On concentration in vortex sheets" @default.
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• W3014668379 doi "https://doi.org/10.1007/s42985-023-00230-6" @default.
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