4 papers · 1 filter
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…