2 citations · 6 across the 6 of their papers we have counts for
6 papers
Efficient calculation of the integral equation for simulating 2D TE scattering in a homogeneous medium using the Ewald method and a Gabor frame discretization
Xinyang Lua, M. C. van Beurdenb, Qingbiao Wua
We utilize the domain integral equation formulation to simulate two-dimensional transverse electric scattering in a homogeneous medium and a summation of modulated Gaussian functio…
On a Quaternary Non-Local Isoperimetric Problem
Stanley Alama, Lia Bronsard, Xinyang Lu +1
We study a two-dimensional quaternary inhibitory system. This free energy functional combines an interface energy favoring micro-domain growth with a Coulomb-type long range intera…
Action and Trajectory Planning for Urban Autonomous Driving with Hierarchical Reinforcement Learning
Xinyang Lu, Flint Xiaofeng Fan, Tianying Wang
Reinforcement Learning (RL) has made promising progress in planning and decision-making for Autonomous Vehicles (AVs) in simple driving scenarios. However, existing RL algorithms f…
Regularity of a gradient flow generated by the anisotropic Landau-de Gennes energy with a singular potential
Yuning Liu, Xinyang Lu, Xiang Xu
In this paper we study a gradient flow generated by the Landau-de Gennes free energy that describes nematic liquid crystal configurations in the space of -tensors. This free ene…
Blowup rate estimates of the Ball-Majumdar potential and its gradient in the Landau-de Gennes theory
Xinyang Lu, Xiang Xu, Wujun Zhang
In this paper we revisit a singular bulk potential in the Landau-de Gennes free energy that describes nematic liquid crystal configurations in the framework of the Q-tensor order p…
Periodic Minimizers of a Ternary Non-Local Isoperimetric Problem
Stan Alama, Lia Bronsard, Xinyang Lu +1
We study a two-dimensional ternary inhibitory system derived as a sharp-interface limit of the Nakazawa-Ohta density functional theory of triblock copolymers. This free energy func…