13 citations · 35 across the 6 of their papers we have counts for
7 papers
Robert V. Kohn (1953-2026)
Yekaterina Epshteyn, David Kinderlehrer
The article is dedicated to the memory and enduring legacy of Professor Robert V. Kohn, Courant Institute, NYU. In this memorial article, we record thoughts and reminiscences of hi…
Impact of grain boundary energy anisotropy on grain growth
S. Kiana Naghibzadeh, Zipeng Xu, David Kinderlehrer +3
A threshold dynamics model of grain growth that accounts for the anisotropy in the grain boundary energy has been used to simulate experimentally observed grain growth of polycryst…
Comparison of simulated and measured grain volume changes during grain growth
Xiaoyao Peng, Aditi Bhattacharya, S. Kiana Naghibzadeh +4
The three-dimensional microstructure of Ni, observed after five annealing intervals, was compared to simulations of grain growth using the threshold dynamics method with the assump…
A Wasserstein gradient flow approach to Poisson-Nernst-Planck equations
David Kinderlehrer, Léonard Monsaingeon, Xiang Xu
The Poisson-Nernst-Planck system of equations used to model ionic transport is interpreted as a gradient flow for the Wasserstein distance and a free energy in the space of probabi…
Numerical analysis of the vertex models for simulating grain boundary networks
Claudio Torres, Maria Emelianenko, Dmitry Golovaty +2
Polycrystalline materials undergoing coarsening can be represented as evolving networks of grain boundaries, whose statistical characteristics determine macroscopic materials prope…
A hybrid variational principle for the Keller-Segel system in
Adrien Blanchet, José A. Carrillo, David Kinderlehrer +3
We construct weak global in time solutions to the classical Keller-Segel system cell movement by chemotaxis in two dimensions when the total mass is below the well-known critical v…