Physics – Mathematical Physics
40 pages, no figures
We show that certain infinitesimal operators of the Lie-point symmetries of the incompressible 3D Navier-Stokes equations give rise to vortex solutions with different characteristics. This approach allows an algebraic classification of vortices and throws light on the alignment mechanism between the vorticity and the vortex stretching vector. The symmetry algebra associated with the Navier-Stokes equations turns out to be infinite- dimensional. New vortical structures, generalizing in some cases well-known configurations such as, for example, the Burgers and Lundgren solutions, are obtained and discussed in relation to the value of the dynamic angle. A systematic treatment of the boundary conditions invariant under the symmetry group of the equations under study is also performed, and the corresponding invariant surfaces are recognized.
Leo Rosario Antonio
Vortices and invariants surfaces generated by symmetries for the 3D Navier-Stokes equations 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 Vortices and invariants surfaces generated by symmetries for the 3D Navier-Stokes equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vortices and invariants surfaces generated by symmetries for the 3D Navier-Stokes equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-411321