59 citations · 125 across the 14 of their papers we have counts for
7 papers · 1 filter
An energy minimization approach to twinning with variable volume fraction
Sergio Conti, Robert Kohn, Oleksandr Misiats
In materials that undergo martensitic phase transformation, macroscopic loading often leads to the creation and/or rearrangement of elastic domains. This paper considers an example…
Complex Analytic Dependence on the Dielectric Permittivity in ENZ Materials: The Photonic Doping Example
Robert V. Kohn, Raghavendra Venkatraman
Motivated by the physics literature on "photonic doping" of scatterers made from "epsilon-near-zero" (ENZ) matrials, we consider how the scattering of time-harmonic TM electromagne…
Prediction with Expert Advice: a PDE Perspective
Nadejda Drenska, Robert V. Kohn
This work addresses a classic problem of online prediction with expert advice. We assume an adversarial opponent, and we consider both the finite-horizon and random-stopping versio…
Wrinkling of a thin circular sheet bonded to a spherical substrate
Peter Bella, Robert V. Kohn
We consider a disk-shaped thin elastic sheet bonded to a compliant sphere. (Our sheet can slip along the sphere; the bonding controls only its normal displacement.) If the bonding…
The coarsening of folds in hanging drapes
Peter Bella, Robert V. Kohn
We consider the elastic energy of a hanging drape -- a thin elastic sheet, pulled down by the force of gravity, with fine-scale folding at the top that achieves approximately unifo…
Blister patterns and energy minimization in compressed thin films on compliant substrates
Jacob Bedrossian, Robert V. Kohn
This paper is motivated by the complex blister patterns sometimes seen in thin elastic films on thick, compliant substrates. These patterns are often induced by an elastic misfit w…