8 citations · 12 across the 12 of their papers we have counts for
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Convergence analysis of neural networks for solving a free boundary system
Xinyue Evelyn Zhao, Wenrui Hao, Bei Hu
Free boundary problems deal with systems of partial differential equations, where the domain boundaries are apriori unknown. Due to this special characteristic, it is challenging t…
On the first bifurcation point for a free boundary problem modeling small arterial plaque
Xinyue Evelyn Zhao, Bei Hu
Atherosclerosis occurs when plaque clogs the arteries. It is a leading cause of death in the United States and worldwide. In this paper, we study the bifurcation for a highly nonli…
Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms
Caihong Chang, Bei Hu, Zhengce Zhang
This paper is concerned with two properties of positive weak solutions of quasilinear elliptic equations with nonlinear gradient terms. First, we show a Liouville-type theorem for…
Bifurcation for a free boundary problem modeling a small arterial plaque
Xinyue Evelyn Zhao, Bei Hu
Atherosclerosis, hardening of the arteries, originates from small plaque in the arteries; it is a major cause of disability and premature death in the United States and worldwide.…
Asymptotic stability for a free boundary tumor model with angiogenesis
Yaodan Huang, Zhengce Zhang, Bei Hu
In this paper, we study a free boundary problem modeling solid tumor growth with vasculature which supplies nutrients to the tumor; this is characterized in the Robin boundary cond…