143 citations · 757 across the 54 of their papers we have counts for
3 papers · 2 filters
Lie reduction and exact solutions of vorticity equation on rotating sphere
Alexander Bihlo, Roman O. Popovych
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-di…
Invariant parameterization and turbulence modeling on the beta-plane
Alexander Bihlo, Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych
Invariant parameterization schemes for the eddy-vorticity flux in the barotropic vorticity equation on the beta-plane are constructed and then applied to turbulence modeling. This…
Complete group classification of a class of nonlinear wave equations
Alexander Bihlo, Elsa Dos Santos Cardoso-Bihlo, Roman O. Popovych
Preliminary group classification became prominent as an approach to symmetry analysis of differential equations due to the paper by Ibragimov, Torrisi and Valenti [J. Math. Phys. 3…