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math-ph2016
On the Hamiltonian and Geometric structure of the Craik-Leibovich equation
Cheng Yang
In this paper we show that the Craik-Leibovich (CL) equation in hydrodynamics is the Euler equation on the dual of a certain central extension of the Lie algebra of divergence-free…
math.DS2016
Weak KAM Theorem for a Class of Infinite-Dimensional Lagrangian systems
Guanghua Shi, Cheng Yang
In this paper, we study infinite-dimensional Lagrangian systems where the potential functions are periodic, rearrangement invariant and weakly upper semicontinuous. And we prove th…
math-ph2016★ 3 cited
Multiscale method, Central extensions and a generalized Craik-Leibovich equation
Cheng Yang
In this paper we develop perturbation theory on the reduced space of a principal bundle. This theory uses a multiscale method and is related to vibrodynamics. For a fast oscill…