Singularities Motion Equations in 2-Dimensional Ideal Hydrodynamics of Incompressible Fluid

Details Singularities Motion Equations in 2-Dimensional Ideal Hydrodynamics of Incompressible Fluid Singularities Motion Equations in 2-Dimensional Ideal Hydrodynamics of Incompressible Fluid

2011-12-13

arxiv.org/abs/1112.2862v1

Physics Letters A (June 2009), 373 (29), pg. 2484-2487

Nonlinear Sciences

Exactly Solvable and Integrable Systems

9 pages

Scientific paper

In this paper, we have obtained motion equations for a wide class of one-dimensional singularities in 2-D ideal hydrodynamics. The simplest of them, are well known as point vortices. More complicated singularities correspond to vorticity point dipoles. It has been proved that point multipoles of a higher order (quadrupoles and more) are not the exact solutions of two-dimensional ideal hydrodynamics. The motion equations for a system of interacting point vortices and point dipoles have been obtained. It is shown that these equations are Hamiltonian ones and have three motion integrals in involution. It means the complete integrability of two-particle system, which has a point vortex and a point dipole.

Affiliated with

Also associated with

No associations

Rating

Singularities Motion Equations in 2-Dimensional Ideal Hydrodynamics of Incompressible Fluid does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Singularities Motion Equations in 2-Dimensional Ideal Hydrodynamics of Incompressible Fluid, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singularities Motion Equations in 2-Dimensional Ideal Hydrodynamics of Incompressible Fluid will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-486531