On the Effects of Advection and Vortex Stretching
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DOI: 10.1007/s00205-019-01455-9
Abstract: We prove finite-time singularity formation for De Gregorio’s model of the three-dimensional vorticity equation in the class of $$L^p\cap C^\alpha (\mathbb {R})$$ L p ∩ C α ( R ) vorticities for some $$\alpha >0$$… read more here.
Keywords: finite time; effects advection; time singularity; advection vortex ... See more keywords
On the Optimal Rate of Vortex Stretching for Axisymmetric Euler Flows Without Swirl
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DOI: 10.1007/s00205-025-02103-1
Abstract: For axisymmetric flows without swirl and compactly supported initial vorticity, we prove the upper bound of t4/3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t^{4/3}$$\end{document} for the growth of the vorticity maximum, which was… read more here.
Keywords: vortex stretching; without swirl; optimal rate; flows without ... See more keywords