About the Decay of Vorticity in a Two-dimensional Incompressible Viscous Fluid

被引：0

作者：

Brice Franke

机构：

[1] Fakultat fur Mathematik,

[2] Ruhr Universitat Bochum,undefined

[3] D-44780 Bochum,undefined

来源：

Semigroup Forum | 2004年 / 69卷

关键词：

Maximal Amount; Heat Equation; Viscous Fluid; Incompressible Viscous Fluid; Vorticity Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The main purpose of this article is to investigate the behavior of the vorticity in a two dimensional incompressible viscous medium. We give bounds for the maximal amount of vorticity which can be concentrated in a domain of a given size. In order to obtain bounds we compare the vorticity equation to the heat equation in ℝ2

引用

页码：303 / 316

页数：13

共 50 条

[1] About the decay of vorticity in a two-dimensional incompressible viscous fluid
Franke, B
[J]. SEMIGROUP FORUM, 2004, 69 (02) : 303 - 316
[2] On the growth of the vorticity support for an incompressible non-viscous fluid in a two-dimensional exterior domain
Marchioro, C
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1996, 19 (01) : 53 - 62
[3] On the growth of the vorticity support for an incompressible non-viscous fluid in a two-dimensional exterior domain
[J]. Math Methods Appl Sci, 1 (53):
[4] Two-dimensional vortex motions of a viscous incompressible fluid
Gorskii, V.B.
[J]. Journal of Applied Mathematics and Mechanics (English translation of Prikladnaya Matematika i Mekhanika), 1992, 56 (03):
[5] CANONICAL VARIABLES FOR THE TWO-DIMENSIONAL HYDRODYNAMICS OF AN INCOMPRESSIBLE FLUID WITH VORTICITY
MOKHOV, OI
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1989, 78 (01) : 97 - 99
[6] VORTICITY BOUNDARY-CONDITIONS AND BOUNDARY VORTICITY GENERATION FOR TWO-DIMENSIONAL VISCOUS INCOMPRESSIBLE FLOWS
ANDERSON, CR
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 80 (01) : 72 - 97
[7] VORTICITY EQUATION OF TWO-DIMENSIONAL HYDRODYNAMICS OF AN INCOMPRESSIBLE FLUID AS CANONICAL HAMILTONIAN SYSTEM
MOKHOV, OI
[J]. PHYSICS LETTERS A, 1989, 139 (08) : 363 - 368
[8] GENERATION OF TWO-DIMENSIONAL UNSTEADY MOTION IN A VISCOUS INCOMPRESSIBLE FLUID OF FINITE DEPTH
Kundu, P.
Mandal, B. N.
[J]. JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS, 2022, 63 (01) : 17 - 25
[9] GENERATION OF TWO-DIMENSIONAL UNSTEADY MOTION IN A VISCOUS INCOMPRESSIBLE FLUID OF FINITE DEPTH
P. Kundu
B. N. Mandal
[J]. Journal of Applied Mechanics and Technical Physics, 2022, 63 : 17 - 25
[10] TWO-DIMENSIONAL CONVECTION OF AN INCOMPRESSIBLE VISCOUS FLUID WITH THE HEAT EXCHANGE ON THE FREE BORDER
Vlasova, S. S.
Prosviryakov, E. Yu.
[J]. VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2016, 20 (03): : 567 - 577

← 1 2 3 4 5 →