Vanishing viscosity limit for an incompressible fluid with concentrated vorticity

被引：9

作者：

Marchioro, Carlo ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2007年 / 48卷 / 06期

关键词：

D O I：

10.1063/1.2347901

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study an incompressible fluid with a sharply concentrated vorticity moving in the whole space. First, we review some known results for the inviscid case, which prove, in particular situations, the local induction approximation. Then, we discuss the vanishing viscosity limit and we state a new result valid for a smoke ring with a very large radius. (c) 2007 American Institute of Physics.

引用

页数：16

共 50 条

[1] Vanishing viscosity limit for a smoke ring with concentrated vorticity
Enrico Brunelli
Carlo Marchioro
Journal of Mathematical Fluid Mechanics, 2011, 13 : 421 - 428
[2] Vanishing viscosity limit for a smoke ring with concentrated vorticity
Brunelli, Enrico
Marchioro, Carlo
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2011, 13 (03) : 421 - 428
[3] LIMIT FOR A VANISHING VISCOSITY OF A STEADY FLOW INCOMPRESSIBLE FLUID
LEGENDRE, R
RECHERCHE AEROSPATIALE, 1984, (02): : 153 - 154
[4] On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity
Nussenzveig Lopes, Helena J.
Seis, Christian
Wiedemann, Emil
NONLINEARITY, 2021, 34 (05) : 3112 - 3121
[5] EFFECTS OF A VANISHING VISCOSITY IN AN INCOMPRESSIBLE FLUID
LEGENDRE, R
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II, 1985, 300 (08): : 313 - 315
[6] Vanishing capillarity–viscosity limit for the incompressible inhomogeneous fluid models of Korteweg type
Jing Yang
Lei Yao
Changjiang Zhu
Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 2285 - 2303
[7] On the Inviscid Limit for a Fluid with a Concentrated Vorticity
Carlo Marchioro
Communications in Mathematical Physics, 1998, 196 : 53 - 65
[8] On the inviscid limit for a fluid with a concentrated vorticity
Marchioro, C
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 196 (01) : 53 - 65
[9] Vanishing viscosity limit for concentrated vortex rings
Butta, Paolo
Cavallaro, Guido
Marchioro, Carlo
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (12)
[10] Effects of a Vanishing Viscosity in an Incompressible Fluid.
Legendre, Robert
1600, (300):

← 1 2 3 4 5 →