209 citations · 1.4k across the 114 of their papers we have counts for
5 papers · 1 filter
Meanfield games and model predictive control
Pierre Degond, Michael Herty, Jian-Guo Liu
Mean-Field Games are games with a continuum of players that incorporate the time-dimension through a control-theoretic approach. Recently, simpler approaches relying on the Best Re…
An exact solution for Stokes flow in a channel with arbitrarily large wall permeability
Gregory J. Herschlag, Jian-Guo Liu, Anita T. Layton
We derive an exact solution for Stokes flow in an in a channel with permeable walls. We assume that at the channel walls, the normal component of the fluid velocity is described by…
Emergence of step flow from atomistic scheme of epitaxial growth in 1+1 dimensions
Jianfeng Lu, Jian-Guo Liu, Dionisios Margetis
The Burton-Cabrera-Frank (BCF) model for the flow of line defects (steps) on crystal surfaces has offered useful insights into nanostructure evolution. This model has rested on phe…
Evolution of wealth in a nonconservative economy driven by local Nash equilibria
Pierre Degond, Jian-Guo Liu, Christian Ringhofer
We develop a model for the evolution of wealth in a non-conservative economic environment, extending a theory developed earlier by the authors. The model considers a system of rati…
On generating functions of Hausdorff moment sequences
Jian-Guo Liu, Robert L. Pego
The class of generating functions for completely monotone sequences (moments of finite positive measures on ) has an elegant characterization as the class of Pick functions…