13 citations · 35 across the 22 of their papers we have counts for
11 papers · 1 filter
Anisotropic Surface Tensions for Phase Transitions in Periodic Media
Rustum Choksi, Irene Fonseca, Jessica Lin +1
This paper establishes bounds on the homogenized surface tension for a heterogeneous Allen-Cahn energy functional in a periodic medium. The approach is based on relating the homoge…
On the Strong Attraction Limit for a Class of Nonlocal Interaction Energies
Almut Burchard, Rustum Choksi, Elias Hess-Childs
This note concerns the problem of minimizing a certain family of non-local energy functionals over measures on , subject to a mass constraint, in a strong attraction…
Anisotropic liquid drop models
Rustum Choksi, Robin Neumayer, Ihsan Topaloglu
We introduce and study certain variants of Gamow's liquid drop model in which an anisotropic surface energy replaces the perimeter. After existence and nonexistence results are est…
Droplet breakup in the liquid drop model with background potential
Stan Alama, Lia Bronsard, Rustum Choksi +1
We consider a variant of Gamow's liquid drop model, with a general repulsive Riesz kernel and a long-range attractive background potential with weight . The addition of the back…
Ground-states for the liquid drop and TFDW models with long-range attraction
Stan Alama, Lia Bronsard, Rustum Choksi +1
We prove that both the liquid drop model in with an attractive background nucleus and the Thomas-Fermi-Dirac-von Weizsäcker (TFDW) model attain their ground-states \…
Droplet phase in a nonlocal isoperimetric problem under confinement
Stan Alama, Lia Bronsard, Rustum Choksi +1
We address small volume-fraction asymptotic properties of a nonlocal isoperimetric functional with a confinement term, derived as the sharp interface limit of a variational model f…
Nonlocal Shape Optimization via Interactions of Attractive and Repulsive Potentials
Almut Burchard, Rustum Choksi, Ihsan Topaloglu
We consider a class of nonlocal shape optimization problems for sets of fixed mass where the energy functional is given by an attractive/repulsive interaction potential in power-la…
Global minimizers for the doubly-constrained Helfrich energy: the axisymmetric case
Rustum Choksi, Marco Veneroni
Since the pioneering work of Canham and Helfrich, variational formulations involving curvature-dependent functionals, like the classical Willmore functional, have proven useful for…
Small Volume Fraction Limit of the Diblock Copolymer Problem: II. Diffuse-Interface Functional
Rustum Choksi, Mark A. Peletier
We present the second of two articles on the small volume fraction limit of a nonlocal Cahn-Hilliard functional introduced to model microphase separation of diblock copolymers. Aft…
Deblurring of One Dimensional Bar Codes via Total Variation Energy Minimisation
Rustum Choksi, Yves van Gennip
Using total variation based energy minimisation we address the recovery of a blurred (convoluted) one dimensional (1D) barcode. We consider functionals defined over all possible ba…
Small Volume Fraction Limit of the Diblock Copolymer Problem: I. Sharp Interface Functional
R. Choksi, M. A. Peletier
We present the first of two articles on the small volume fraction limit of a nonlocal Cahn-Hilliard functional introduced to model microphase separation of diblock copolymers. Here…