Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Taranets, Roman"'
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
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 bounded domain in $\mathbb{R}^d$. The nonlocal operator we consider is the
Externí odkaz:
http://arxiv.org/abs/2404.03633
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:
Kitavtsev, Georgy, Taranets, Roman M.
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 terms with zero mean. In dimensions two and three, we determine criti
Externí odkaz:
http://arxiv.org/abs/2210.12025
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 a diffusion-drift approximation of probability density in a well-known
Externí odkaz:
http://arxiv.org/abs/2207.11373
Autor:
Kitavtsev, Georgy1 (AUTHOR) georgy.kitavtsev@gmail.com, Taranets, Roman M.2 (AUTHOR) taranets_r@yahoo.com
Publikováno v:
Asymptotic Analysis. 2024, Vol. 137 Issue 3/4, p153-176. 24p.
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 a priori estimates derived for energy-entropy functionals. Long-time
Externí odkaz:
http://arxiv.org/abs/2006.04994
The hypothalamic pituitary adrenal (HPA) axis responds to physical and mental challenge to maintain homeostasis in part by controlling the body's cortisol level. Dysregulation of the HPA axis is implicated in numerous stress-related diseases. For a s
Externí odkaz:
http://arxiv.org/abs/1904.09012
Nonnegative Weak Solutions of Thin Film Equations Related to Viscous Flows in Cylindrical Geometries
Motivated by models for thin films coating cylinders in two physical cases proposed by V.I. Kerchman and A.L. Frenkel, we analyze the dynamics of corresponding thin film models. The models are governed by nonlinear, fourth-order, degenerate, paraboli
Externí odkaz:
http://arxiv.org/abs/1902.08685
Autor:
Kitavtsev, Georgy, Taranets, Roman M.
In this paper, we extend the results of [1] by proving exponential asymptotic $H^1$-convergence of solutions to a one-dimensional singular heat equation with $L^2$-source term that describe evolution of viscous thin liquid sheets while considered in
Externí odkaz:
http://arxiv.org/abs/1810.02161