2 citations · 2 across the 8 of their papers we have counts for
10 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-…
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…
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…
Dimension reduction and homogenization of composite plate with matrix pre-strain
Amartya Chakrabortty, Georges Griso, Julia Orlik
This paper focuses on the simultaneous homogenization and dimension reduction of periodic composite plates within the framework of non-linear elasticity. The composite plate in its…