Diffusion–reaction–dissolution–precipitation model in a heterogeneous porous medium with nonidentical diffusion coefficients: Analysis and homogenization

N Ghosh, HS Mahato - Asymptotic Analysis, 2022 - content.iospress.com
We study a pore-scale model where two mobile species with different diffusion coefficients
react and precipitate in the form of immobile species (crystal) on the surface of the solid parts …

An optimal control problem for diffusion–precipitation model 1

A Kundu, HS Mahato - Asymptotic Analysis, 2024 - content.iospress.com
We present an optimal control problem associated to a chemical transportation phenomena
in a periodic porous medium. Posing controls on the porous part of the medium (distributed …

Limiting analysis of a crystal dissolution and precipitation model coupled with the unsteady stokes equations in the context of porous media flow

N Ghosh, HS Mahato - arXiv preprint arXiv:2209.07450, 2022 - arxiv.org
We study the diffusion-reaction-advection model for mobile chemical species together with
the dissolution and precipitation of immobile species in a porous medium at the micro-scale …

Upscaling of evolving microstructures in a porous medium

HS Mahato - Physics of Fluids, 2020 - pubs.aip.org
Crystal dissolution and precipitation problems often originate in the fields of material
sciences, chemical engineering, soil mechanics, hydrology, and other related fields. In this …

[PDF][PDF] Global solution for a system of semilinear diffusion-reaction equations with distinct diffusion coefficients

M Böhm, HS Mahato, N Ghosh - emis.de
In this paper, we show the existence of solution for a relatively general system of semilinear
parabolic equations with nonlinear reaction rate terms and inflow-outflow boundary …