Motion of a vortex filament in the half-space

被引：8

作者：

Aiki, Masashi ^{[1
]}

Iguchi, Tatsuo ^{[1
]}

机构：

[1] Keio Univ, Fac Sci & Technol, Dept Math, Kohoku Ku, Yokohama, Kanagawa 2238522, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 13期

关键词：

Vortex filament; Initial-boundary value problem; Localized induction equation; EQUATION;

D O I：

10.1016/j.na.2012.04.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A model equation for the motion of a vortex filament immersed in three-dimensional, incompressible and inviscid fluid is investigated as a preliminary attempt to model the motion of a tornado. We solve an initial-boundary value problem in the half-space, where we impose a boundary condition in which the vortex filament is allowed to move on the boundary. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：5180 / 5185

页数：6

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