143 citations · 757 across the 54 of their papers we have counts for
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math-ph2008★ 9 cited
Symmetry Analysis of Barotropic Potential Vorticity Equation
Alexander Bihlo, Roman O. Popovych
Recently F. Huang [Commun. Theor. Phys. V.42 (2004) 903] and X. Tang and P.K. Shukla [Commun. Theor. Phys. V.49 (2008) 229] investigated symmetry properties of the barotropic poten…
physics.flu-dyn2008★ 2 cited
Symmetry justification of Lorenz' maximum simplification
Alexander Bihlo, Roman O. Popovych
In 1960 Edward Lorenz (1917-2008) published a pioneering work on the `maximum simplification' of the barotropic vorticity equation. He derived a coupled three-mode system and inter…
physics.flu-dyn2008★ 2 cited
Rayleigh-Bénard Convection as a Nambu-metriplectic problem
Alexander Bihlo
The traditional Hamiltonian structure of the equations governing conservative Rayleigh-Bénard convection (RBC) is singular, i.e. it's Poisson bracket possesses nontrivial Casimir f…