1 citations · 1 across the 13 of their papers we have counts for
13 papers
Efficient bound preserving and asymptotic preserving semi-implicit schemes for the fast reaction-diffusion system
Yu Zhao, Zhennan Zhou
We consider a special type of fast reaction-diffusion systems in which the coefficients of the reaction terms of the two substances are much larger than those of the diffusion term…
Classical solutions of a mean field system for pulse-coupled oscillators: long time asymptotics versus blowup
José Antonio Carrillo, Xu'an Dou, Pierre Roux +1
We introduce a novel reformulation of the mean-field system for pulse-coupled oscillators. It is based on writing a closed equation for the inverse distribution function associated…
Uncertainty Quantification of Phase Transition Problems with an Injection Boundary
Zhenyi Zhang, Shengbo Ma, Zhennan Zhou
We develop an enthalpy-based modeling and computational framework to quantify uncertainty in Stefan problems with an injection boundary. Inspired by airfoil icing studies, we consi…
Asymptotic analysis for Bloch electrons with Weyl nodes
Jianfeng Lu, Changhe Yang, Zhennan Zhou
In this paper, we study the semiclassical behavior of Bloch electrons in the presence of Weyl nodes, which are singular points in the band structure of certain materials. We carry…
Prompt Engineering Through the Lens of Optimal Control
Yifan Luo, Yiming Tang, Chengfeng Shen +2
Prompt Engineering (PE) has emerged as a critical technique for guiding Large Language Models (LLMs) in solving intricate tasks. Its importance is highlighted by its potential to s…
Tumor growth with a necrotic core as an obstacle problem in pressure
Xu'an Dou, Chengfeng Shen, Zhennan Zhou
Motivated by the incompressible limit of a cell density model, we propose a free boundary tumor growth model where the pressure satisfies an obstacle problem on an evolving domain…