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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…
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…
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…