3 papers
math.DS2026
Lie Meets Network Dynamics: Exact Macroscopic Reductions (Finite Systems)
Erik Andreas Martens, Sanjay Dharmavaram
We establish a unified framework for exact dimensional reductions in network dynamical systems using Lie-Scheffers theory. For network dynamical systems with \emph{mean-field Lie-S…
cond-mat.soft2025
Instabilities in Colloidal Crystals on Fluid Membranes
Sanjay Dharmavaram, Basant Lal Sharma
The complex physics of self-assembly in colloidal crystals on deformable interfaces and surfaces poses interesting possibilities for the designability and synthesis of next-generat…
math.NA2023
Computational Modeling of Coupled Interactions of Fluid Membranes with Embedded Filaments
Basant Lal Sharma, Luigi E. Perotti, Sanjay Dharmavaram
In this work, we present a computational formulation based on continuum mechanics to study the interaction of fluid membranes embedded with semiflexible filaments. This is motivate…