Modeling the swelling kinetics of preformed particle gels coated with a silicate layer

A Heidari, E Vasheghani-Farahani… - Chemical Engineering …, 2023 - Elsevier
This study presented an organic–inorganic hybrid preformed particle gels (PPG) by coating
a tetramethyl orthosilicate layer on acrylamide-based PPG to control the swelling rate of …

Particle-to-particle solvent diffusion in compacted granular systems

PHC Martins, M Gonzalez - International Journal of Heat and Mass Transfer, 2025 - Elsevier
We develop a particle-to-particle solvent diffusion model for compacted granular systems
that addresses a long-standing gap in particle-to-particle transport models. The proposed …

On a moving boundary problem associated with the swelling drug release platforms

M Garshasbi, S Malek Bagomghaleh - International Journal of …, 2022 - Taylor & Francis
This paper studies a parabolic-type system of time-dependent partial differential equations
coupled with Robin boundary conditions to model the solvent penetration and subsequently …

Quasiconvergence in parabolic equations in one space dimension

F Li, B Lou, J Lu - Nonlinear Analysis: Real World Applications, 2019 - Elsevier
In this paper we first prove a quasiconvergence result (that is, the ω-limit set of a solution
consists entirely of steady states) for bounded solutions of general quasilinear parabolic …

Mathematical modeling and experimental study of water diffusion and swelling in polymer films

M Gagliardi - Macromolecular Theory and Simulations, 2019 - Wiley Online Library
Water diffusion and swelling of polymer films can be modeled by nonlinear diffusion
equations with fixed or moving boundaries, investigating the Fick and the Stefan problems …

Analysis of a mathematical model of rheumatoid arthritis

A Friedman, KY Lam - Journal of Mathematical Biology, 2020 - Springer
Rheumatoid arthritis is an autoimmune disease characterized by inflammation in the
synovial fluid within the synovial joint connecting two contiguous bony surfaces. The …

Задача для параболического уравнения с двумя свободными границами

МС Расулов - Вестник КРАУНЦ. Физико-математические науки, 2023 - mathnet.ru
В данной работе рассматривается задача типа Стефана с двумя свободными
границами для квазилинейного параболического уравнения в одномерном случае …