42 citations · 88 across the 17 of their papers we have counts for
12 papers · 1 filter
Analysis of a Radiotherapy Model for Brain Tumors
Marina Chugunova, Hangjie Ji, Roman Taranets +1
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 th…
On weak solutions of a control-volume model for liquid films flowing down a fibre
Roman M. Taranets, Hangjie Ji, Marina Chugunova
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 gove…
Qualitative analysis of solutions for a degenerate PDE model of epidemic dynamics
Marina Chugunova, Roman Taranets, Nataliya Vasylyeva
Compartmental models are widely used in mathematical epidemiology to describe dynamics of infection disease. A new SIS-PDE model, recently derived by Chalub and Souza, is based on…
On travelling wave solutions of a model of a liquid film flowing down a fibre
Hangjie Ji, Roman Taranets, Marina Chugunova
Existence of non-negative weak solutions is shown for a full curvature thin-film model of a liquid thin film flowing down a vertical fibre. The proof is based on the application of…
Use of mathematical modeling to study pressure regimes in normal and Fontan blood flow circulations
J. P. Keener, M. Chugunova, R. M. Taranets +1
We develop two mathematical lumped parameter models for blood pressure distribution in the Fontan blood flow circulation: an ODE based spatially homogeneous model and a PDE based s…
Thin film flow dynamics on fiber nets
Roman M. Taranets, Marina Chugunova
We analyze existence and qualitative behavior of non-negative weak solutions for fourth order degenerate parabolic equations on graph domains with Kirchhoff's boundary conditions a…