101 citations · 319 across the 30 of their papers we have counts for
4 papers · 1 filter
A Modified Split Bregman Algorithm for Computing Microstructures Through Young Measures
Gabriela Jaramillo, Shankar Venkataramani
The goal of this paper is to describe the oscillatory microstructure that can emerge from minimizing sequences for nonconvex energies. We consider integral functionals that are def…
Disk galaxies and their dark halos as self-organized patterns
Shankar C. Venkataramani, Alan C. Newell
Galaxies are built by complex physical processes with significant inherent stochasticity. It is therefore surprising that the inferred dark matter distributions in galaxies are str…
Continuum mechanics of moving defects in growing bodies
Amit Acharya, Shankar C. Venkataramani
Growth processes in many living organisms create thin, soft materials with an intrinsically hyperbolic geometry. These objects support novel types of mesoscopic defects - discontin…
Buckling sheets open a door to understanding self-organization in soft matter
Shankar C. Venkataramani
This is an invited commentary on "Geometrically incompatible confinement of solids", B. Davidovitch, Y. Sun and G. M. Grason (PNAS, doi:10.1073/pnas.1815507116 , arxiv:1809.06919).