8 citations · 17 across the 21 of their papers we have counts for
23 papers
On -entropy solutions of a nonlocal thin film equation: existence and finite speed of propagation
Antonio Segatti, Roman Taranets
We consider an initial-boundary value problem for a class of nonlocal thin film equations governed by the spectral fractional Laplacian with homogeneous Neumann boundary conditions…
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…
Existence and finite speed of propagation of solutions for a multi-dimensional fractional thin-film equation
Nicola De Nitti, Stefano Lisini, Antonio Segatti +1
In this paper, we discuss existence and finite speed of propagation for the solutions to an initial-boundary value problem for a family of fractional thin-film equations in a bound…
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…
Asymptotic decay towards steady states of solutions to very fast and singular diffusion equations
Georgy Kitavtsev, Roman M. Taranets
We analyze long-time behavior of solutions to a class of problems related to very fast and singular diffusion porous medium equations having nonhomogeneous in space and time source…
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…