70 citations · 74 across the 5 of their papers we have counts for
6 papers
Maximization of Supercapacitor Storage via Topology Optimization of Electrode Structures
Jiajie Li, Xiang Ji, Shenggao Zhou +1
As widely used electrochemical storage devices, supercapacitors deliver higher power density than batteries, but suffer from significantly lower energy density. In this work, we pr…
Topology optimization for microfluidic mixers by a phase field method
Zongyuan Liu, Jiajie Li, Shengfeng Zhu
We investigate multi-physical topology optimization for microfluidic mixers employing the phase-field model. The optimization problem is formulated using a modified Ginzburg-Landau…
Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage
Jiajie Li, Shenggao Zhou, Shengfeng Zhu
We build a new mathematical model of shape optimization for maximizing ionic concentration governed by the multi-physical coupling steady-state Poisson-Nernst-Planck system. Shape…
Energy stable gradient flow schemes for shape and topology optimization in Navier-Stokes flows
Jiajie Li, Shengfeng Zhu
We study topology optimization governed by the incompressible Navier-Stokes flows using a phase field model. Novel stabilized semi-implicit schemes for the gradient flows of Allen-…
Backward stochastic differential equations with unbounded generators
Bujar Gashi, Jiajie Li
In this paper we consider two classes of backward stochastic differential equations. Firstly, under a Lipschitz-type condition on the generator of the equation, which can also be u…
Mean Field Games and Nonlinear Markov Processes
Vassili N. Kolokoltsov, Jiajie Li, Wei Yang
In this paper, we investigate the mean field games with classes of agents who are weakly coupled via the empirical measure. The underlying dynamics of the representative agents…