1 citations · 1 across the 3 of their papers we have counts for
7 papers
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…
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…
Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core
Huijuan Song, Bei Hu, Zejia Wang
In this paper, we present a rigorous mathematical analysis of a free boundary problem modeling the growth of a vascular solid tumor with a necrotic core. If the vascular system sup…
The Impact of Time Delay in a Tumor Model
Xinyue Evelyn Zhao, Bei Hu
In this paper we consider a free boundary tumor growth model with a time delay in cell proliferation and study how time delay affects the stability and the size of the tumor. The m…