3 papers
math.FA2026
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…
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…