Lie reduction and exact solutions of vorticity equation on rotating sphere

Details Lie reduction and exact solutions of vorticity equation on rotating sphere Lie reduction and exact solutions of vorticity equation on rotating sphere

2011-12-13

arxiv.org/abs/1112.3019v2

Physics

Mathematical Physics

10 pages, 1 figure, minor corrections and extensions

Scientific paper

Following our paper [J. Math. Phys. 50 (2009) 123102], we systematically carry out Lie symmetry analysis for the barotropic vorticity equation on the rotating sphere. All finite-dimensional subalgebras of the corresponding maximal Lie invariance algebra, which is infinite-dimensional, are classified. Appropriate subalgebras are then used to exhaustively determine Lie reductions of the equation under consideration. The relevance of the constructed exact solutions for the description of real-world physical processes is discussed. It is shown that the results of the above paper are directly related to the results of the recent letter by N. H. Ibragimov and R. N. Ibragimov [Phys. Lett. A 375 (2011) 3858] in which Lie symmetries and some exact solutions of the nonlinear Euler equations for an atmospheric layer in spherical geometry were determined.

Affiliated with

Also associated with

No associations

Rating

Lie reduction and exact solutions of vorticity equation on rotating sphere 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 Lie reduction and exact solutions of vorticity equation on rotating sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lie reduction and exact solutions of vorticity equation on rotating sphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-223761