209 citations · 1.4k across the 114 of their papers we have counts for
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math.PR2015★ 1 cited
Convergence of Stochastic Interacting Particle Systems in Probability under a Sobolev Norm
Jian-Guo Liu, Yuan Zhang
In this paper, we consider particle systems with interaction and Brownian motion. We prove that when the initial data is from the sampling of Chorin's method, i.e., the initial ver…
physics.flu-dyn2015
Optimal reservoir conditions for fluid extraction through permeable walls in the viscous limit
Gregory Herschlag, Jian-Guo Liu, Anita T. Layton
In biological transport mechanisms such as insect respiration and renal filtration, fluid travels along a leaky channel allowing exchange with systems exterior the the channel. The…
math.AP2015★ 44 cited
Coagulation-fragmentation model for animal group-size statistics
Pierre Degond, Jian-Guo Liu, Robert L. Pego
We study coagulation-fragmentation equations inspired by a simple model proposed in fisheries science to explain data for the size distribution of schools of pelagic fish. Although…