Zobrazeno 1 - 10
of 91
pro vyhledávání: '"Ji, Hangjie"'
In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors with radiotherapy influence. Under certain assumptions on the given data in the model, we prove existence and uniqueness of a weak nonnegative (biol
Externí odkaz:
http://arxiv.org/abs/2409.17903
This study investigates the nonlinear stability and dynamics of gravity-driven viscous films on a vertical rotating cylinder, considering both outer and inner surface flows with slip conditions at the cylinder wall. We develop an asymptotic model for
Externí odkaz:
http://arxiv.org/abs/2407.00589
Liquid droplet dynamics are widely used in biological and engineering applications, which contain complex interfacial instabilities and pattern formation such as droplet merging, splitting, and transport. This paper studies a class of mean field cont
Externí odkaz:
http://arxiv.org/abs/2402.05923
When a thin liquid film flows down on a vertical fiber, one can observe the complex and captivating interfacial dynamics of an unsteady flow. Such dynamics are applicable in various fluid experiments due to their high surface area-to-volume ratio. Re
Externí odkaz:
http://arxiv.org/abs/2310.10977
We propose an electro-hydrodynamics model to describe the dynamic evolution of a slender drop containing a dilute ionic surfactant on a naturally wettable surface, with a varying external electric field. This unified model reproduces fundamental micr
Externí odkaz:
http://arxiv.org/abs/2306.16602
Autor:
Ji, Hangjie, Witelski, Thomas P.
A lubrication model can be used to describe the dynamics of a weakly volatile viscous fluid layer on a hydrophobic substrate. Thin layers of the fluid are unstable to perturbations and break up into slowly evolving interacting droplets. A reduced-ord
Externí odkaz:
http://arxiv.org/abs/2303.14728
This paper presents an analytical investigation of the solutions to a control volume model for liquid films flowing down a vertical fibre. The evolution of the free surface is governed by a coupled system of degenerate nonlinear partial differential
Externí odkaz:
http://arxiv.org/abs/2301.02720
Autor:
Yang, Zhenyu, Hu, Zongsheng, Ji, Hangjie, Lafata, Kyle, Floyd, Scott, Yin, Fang-Fang, Wang, Chunhao
Purpose: To develop a neural ordinary differential equation (ODE) model for visualizing deep neural network (DNN) behavior during multi-parametric MRI (mp-MRI) based glioma segmentation as a method to enhance deep learning explainability. Methods: By
Externí odkaz:
http://arxiv.org/abs/2203.00628
Autor:
Chattopadhyay, Souradip, Ji, Hangjie
Publikováno v:
In Chemical Engineering Science 5 December 2024 300
Autor:
Xia, Hedi, Suliafu, Vai, Ji, Hangjie, Nguyen, Tan M., Bertozzi, Andrea L., Osher, Stanley J., Wang, Bao
We propose heavy ball neural ordinary differential equations (HBNODEs), leveraging the continuous limit of the classical momentum accelerated gradient descent, to improve neural ODEs (NODEs) training and inference. HBNODEs have two properties that im
Externí odkaz:
http://arxiv.org/abs/2110.04840