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math.AP2022★ 1 cited
Global existence and uniform boundedness of the classical solutions for the system of multi-species transport with mass control
Nibedita Ghosh, Hari Shankar Mahato
The goal of this work is to establish the global existence of nonnegative classical solutions in all dimensions for a system of highly nonlinear reaction-diffusion equations. We ad…
math.AP2022
Limiting analysis of a crystal dissolution and precipitation model coupled with the unsteady stokes equations in the context of porous media flow
Nibedita Ghosh, Hari Shankar Mahato
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-scal…
math.AP2022★ 2 cited
Corrector estimates and numerical simulations of a system of diffusion-reaction-dissolution-precipitation model in a porous medium
Nibedita Ghosh, Hari Shankar Mahato
A system of diffusion-reaction equations coupled with a dissolution-precipitation model is discussed. We start by introducing a microscale model together with its homogenized versi…