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  1. Journal of Applied Mechanics and Technical Physics
  2. Journal of Applied Mechanics and Technical Physics : Volume 55
  3. Journal of Applied Mechanics and Technical Physics : Volume 55, Issue 2, March 2014
  4. Point vortex in a viscous incompressible fluid
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Journal of Applied Mechanics and Technical Physics : Volume 58
Journal of Applied Mechanics and Technical Physics : Volume 57
Journal of Applied Mechanics and Technical Physics : Volume 56
Journal of Applied Mechanics and Technical Physics : Volume 55
Journal of Applied Mechanics and Technical Physics : Volume 55, Issue 6, November 2014
Journal of Applied Mechanics and Technical Physics : Volume 55, Issue 5, September 2014
Journal of Applied Mechanics and Technical Physics : Volume 55, Issue 4, July 2014
Journal of Applied Mechanics and Technical Physics : Volume 55, Issue 3, May 2014
Journal of Applied Mechanics and Technical Physics : Volume 55, Issue 2, March 2014
A new approach to the group analysis of one-dimensional stochastic differential equations
Thermogravitational mechanism of alignment of the front of chemoconvection patterns with an exothermic chemical reaction
Hydraulic jumps in two-layer flow with a free surface
Approximate symmetries and solutions of the Kompaneets equation
On the action of internal heat sources on convective motion in a porous medium heated from below
Unsteady flows with a constant total pressure, described by the equations of ideal magnetohydrodynamics
Example of an exact solution of the stationary problem of two-layer flows with evaporation at the interface
Linear stability of the Couette flow of a vibrationally excited gas. 1. Inviscid problem
Gas-jet synthesis of diamond-like films from an H$_{2}$ + CH$_{4}$ gas mixture glow
Role of nuclei density as a “hidden” parameter in the formation of anomalous zones in a heavy cavitating magma
Axisymmetric-conical and locally conical flows without swirling
Mixing layer under a free surface
Steady waves in a stratified flow over a combined obstacle
Mechanisms of elastic energy dissipation in the transition layer between a coating and a substrate under contact interaction
Steady vortex flows of a self-gravitating gas
Motion of a load over a floating sheet in a variable-depth pool
Point vortex in a viscous incompressible fluid
Waves on down-flowing fluid films: Calculation of resistance to arbitrary two-dimensional perturbations and optimal downflow conditions
Simple waves of a seven-dimensional subalgebra of all translations in gas dynamics
Oil flow to a slit-like well in a reservoir containing other fluids
Journal of Applied Mechanics and Technical Physics : Volume 55, Issue 1, January 2014
Journal of Applied Mechanics and Technical Physics : Volume 54
Journal of Applied Mechanics and Technical Physics : Volume 53
Journal of Applied Mechanics and Technical Physics : Volume 52
Journal of Applied Mechanics and Technical Physics : Volume 51
Journal of Applied Mechanics and Technical Physics : Volume 50
Journal of Applied Mechanics and Technical Physics : Volume 49
Journal of Applied Mechanics and Technical Physics : Volume 48
Journal of Applied Mechanics and Technical Physics : Volume 47
Journal of Applied Mechanics and Technical Physics : Volume 46
Journal of Applied Mechanics and Technical Physics : Volume 45
Journal of Applied Mechanics and Technical Physics : Volume 44
Journal of Applied Mechanics and Technical Physics : Volume 43
Journal of Applied Mechanics and Technical Physics : Volume 42
Journal of Applied Mechanics and Technical Physics : Volume 41
Journal of Applied Mechanics and Technical Physics : Volume 40
Journal of Applied Mechanics and Technical Physics : Volume 39
Journal of Applied Mechanics and Technical Physics : Volume 38

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Point vortex in a viscous incompressible fluid

Content Provider SpringerLink
Author Pukhnachev, V. V.
Copyright Year 2014
Abstract A plane steady problem of a point vortex in a domain filled by a viscous incompressible fluid and bounded by a solid wall is considered. The existence of the solution of Navier-Stokes equations, which describe such a flow, is proved in the case where the vortex circulation Θ and viscosity ν satisfy the condition |Θ| < 2πν. The velocity field of the resultant solution has an infinite Dirichlet integral. It is shown that this solution can be approximated by the solution of the problem of rotation of a disk of radius Γ with an angular velocity ω under the condition 2πγ $^{2}$ ω → Γ as γ → 0 and ω→∞.
Starting Page 345
Ending Page 351
Page Count 7
File Format PDF
ISSN 00218944
Journal Journal of Applied Mechanics and Technical Physics
Volume Number 55
Issue Number 2
e-ISSN 15738620
Language English
Publisher Pleiades Publishing
Publisher Date 2014-05-06
Publisher Place Moscow
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Navier-Stokes equations no-slip condition point vortex Mechanics Fluid- and Aerodynamics Classical Continuum Physics Applications of Mathematics Mathematical Modeling and Industrial Mathematics Mechanical Engineering
Content Type Text
Resource Type Article
Subject Mechanics of Materials Condensed Matter Physics Mechanical Engineering
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