8 papers · 1 filter
Multiscale Analysis of a Landau--de Gennes Model for Nematic thin-film composites
Amartya Chakrabortty
We study the simultaneous limits of homogenisation and dimension reduction for thin heterogeneous nematic liquid crystal films in the Landau--de Genne…
Quantitative Homogenization of a Cahn--Hilliard System with Source Term in Periodically Perforated Domains
Amartya Chakrabortty
We study qualitative and quantitative homogenization for a Cahn--Hilliard system with a nonconservative source term in a periodically perforated domain. Using the periodic unfoldin…
Homogenization of an optimal control problem for nonlocal semilinear elasticity with soft inclusions
Amartya Chakrabortty, Abu Sufian
This paper investigates the asymptotic analysis of an optimal control problem (OCP) posed on a high-contrast elastic medium with soft periodic inclusions, governed by a semilinear…
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…
Homogenization of a thin linear elastic plate reinforced with a periodic mosaic of small rigid plates
Amartya Chakrabortty, Georges Griso, Julia Orlik
In the framework of linearized elasticity, we study thin elastic composite plates with thickness . The plates contain small, rigid rectangular plates distributed periodically al…
Homogenization, dimension reduction and linearization of thin elastic plate
Amartya Chakrabortty, Georges Griso, Julia Orlik
This paper investigates the homogenization, dimension reduction, and linearization of a composite plate subjected to external loading within the framework of non-linear elasticity…