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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.DS2014
On the Ergodic theory of the Generalized incompressible flow
Cheng Yang, Xiaoping Yuan
To study the variation problem related to the incompressible fluid mechanics, Brenier brings the concept of generalized flow and shows that the generalized incompressible flow (GIF…