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math.AP2025
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…
math.AP2025
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…