8 citations · 15 across the 10 of their papers we have counts for
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The Vanishing-Diffusion Limit of an Incompressible Visco-Morphoelastic System: Weak Solutions and a Jaumann Defect
Swarupananda Banerjee, Amartya Chakrabortty, Hari Shankar Mahato +1
We study an incompressible visco-morphoelastic system in three dimensions in which the Eulerian effective strain is transported by the Zaremba-Jaumann rate and coupled to a Navier-…
A Two-Component Poro-viscoelastic System for Fibre-Reinforced Hydrogels: Analysis and Homogenization
Michael Eden, Hari Shankar Mahato
We study the multiscale behavior of a coupled visco-poroelastic system arising in the modelling of fibre-reinforced hydrogels (FIHs) used in tissue engineering scaffolds. The compo…
Navier-Stokes-Cahn-Hilliard system in a D perforated domain with free slip and source term: Existence and homogenization
Amartya Chakrabortty, Haradhan Dutta, Hari Shankar Mahato
We study a time-dependent Navier--Stokes--Cahn--Hilliard system for a binary incompressible mixture in a periodically perforated domain . The ob…
Mathematical modelling and homogenization of thin fiber-reinforced hydrogels
Amartya Chakrabortty, Haradhan Dutta, Hari Shankar Mahato
This work considers simultaneous homogenization dimension reduction of a poroelastic model for thin fiber-reinforced hydrogels. The analysed medium is defined as a two-component sy…
A micro-scale diffused interface model with Flory-Huggins logarithmic potential in a porous medium
Nitu Lakhmara, Hari Shankar Mahato
A diffused interface model describing the evolution of two conterminous incompressible fluids in a porous medium is discussed. The system consists of the Cahn-Hilliard equation wit…
Numerical Validation for a Stokes-Cahn-Hilliard System in a Porous Medium
Nitu Lakhmara, Hari Shankar Mahato
Having a finite interfacial thickness, the phase-field models supply a way to model the fluid interfaces, which allows the calculations of the interface movements and deformations…
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…
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…
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…
Homogenization of a coupled incompressible Stokes-Cahn-Hilliard system modeling binary fluid mixture in a porous medium
Nitu Lakhmara, Hari Shankar Mahato
A phase-field model for two-phase immiscible, incompressible porous media flow with surface tension effects is considered. The pore-scale model consists of a strongly coupled syste…
Homogenization of a Poroelasticity Model for Fibre-Reinforced Hydrogels
Michael Eden, Hari Shankar Mahato
In this paper, the analysis and homogenization of a poroelastic model for the hydro-mechanical response of fibre-reinforced hydrogels is considered. Here, the medium in question is…