8 citations · 15 across the 10 of their papers we have counts for
12 papers
Explicit Bounds for Restricted Invertibility with Prescribed Group Cardinalities
Xinyu Chen, Bochen Liu
We prove an explicit lower spectral bound for independent random vectors with prescribed group multiplicities. Let , , , be indepe…
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…