Motion of a vortex filament on a slanted plane

被引：2

作者：

Aiki, Masashi ^{[1
]}

机构：

[1] Tokyo Univ Sci, Fac Sci & Technol, Dept Math, 2641 Yamazaki, Noda, Chiba 2788510, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 10期

关键词：

EQUATION;

D O I：

10.1016/j.jde.2017.07.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a nonlinear model equation, known as the Localized Induction Equation, describing the motion of a vortex filament immersed in an incompressible and inviscid fluid. We prove the unique solvability of an initial boundary value problem describing the motion of a vortex filament on a slanted plane. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：6885 / 6915

页数：31

共 50 条

[31] On the motion of a vortex filament in an external flow according to the localized induction approximation
Nishiyama, T
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1999, 129 : 617 - 626
[32] A Real-Space Representation for a Locally Induced Motion of a Vortex Filament
Umeki, Makoto
THEORETICAL AND APPLIED MECHANICS JAPAN, 2013, 61 : 195 - 200
[33] A real-space representation for a locally induced motion of a vortex filament
Umeki, M., 1600, Science Council of Japan (61):
[34] PHYSICAL INTERPRETATION OF CERTAIN INVARIANTS FOR VORTEX FILAMENT MOTION UNDER LIA
RICCA, RL
PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1992, 4 (05): : 938 - 944
[35] MOTION OF A CURVED VORTEX FILAMENT WITH DECAYING VORTICAL CORE AND AXIAL VELOCITY
CALLEGARI, AJ
TING, L
SIAM JOURNAL ON APPLIED MATHEMATICS, 1978, 35 (01) : 148 - 175
[36] Vortex motion in superfluid 4He: Reformulation in the extrinsic vortex-filament coordinate space
Shivamoggi, Bhimsen K.
PHYSICAL REVIEW B, 2011, 84 (01):
[37] The motion of a vortex arround sources, drains, double sources and solid vortex in the half plane
Kneschke, A
ANNALEN DER PHYSIK, 1931, 9 (08) : 905 - 915
[38] Stereoacuity in the presence of a slanted reference plane
Glennerster, A
McKee, SP
INVESTIGATIVE OPHTHALMOLOGY & VISUAL SCIENCE, 1996, 37 (03) : 3128 - 3128
[39] Integrable two layer point vortex motion on the half plane
Jamaloodeen, M. I.
JOURNAL OF GEOMETRY AND PHYSICS, 2014, 84 : 55 - 72
[40] The motion of a non-isolated vortex on the beta-plane
Llewellyn Smith, S.G.
Journal of Fluid Mechanics, 1997, 346 : 149 - 179

← 1 2 3 4 5 →