Nonlinear stability for stationary helical vortices

被引：0
作者：
Maicon J. Benvenutti
机构：
[1] Universidade Federal de Santa Catarina,Departamento de Matemática
来源：
Nonlinear Differential Equations and Applications NoDEA | 2020年 / 27卷
关键词：
Fluid mechanics; Euler equations; Stability; Helical symmetry; 35Q31; 76B03; 35B06; 35B35; 76E99;
D O I：
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学科分类号：
摘要：
We present a stability result for stationary smooth helical ideal fluid flows by using the direct method of Liapunov. It is enunciated in terms of the norm L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{2}$$\end{document} of the velocity and vorticity. A stability for monotonic helical vortices in the norm L1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{1}$$\end{document} is also obtained.
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