19 citations · 25 across the 7 of their papers we have counts for
8 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…
Global Well-Posedness of a Nonlinear Fokker-Planck Type Model of Grain Growth
Batuhan Bayir, Yekaterina Epshteyn, William M Feldman
Most technologically useful materials spanning multiple length scales are polycrystalline. Polycrystalline microstructures are composed of a myriad of small crystals or grains with…
Long-time asymptotic behavior of nonlinear Fokker-Planck type equations with periodic boundary conditions
Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
In this paper, we study the asymptotic behavior of a class of nonlinear Fokker-Planck type equations in a bounded domain with periodic boundary conditions. The system is motivated…
Relative Grain Boundary Energies from Triple Junction Geometry: Limitations to Assuming the Herring Condition in Nanocrystalline Thin Films
Matthew J. Patrick, Gregory S. Rohrer, Ooraphan Chirayutthanasak +5
Grain boundary character distributions (GBCD) are routinely measured from bulk microcrystalline samples by electron backscatter diffraction (EBSD) and serial sectioning can be used…
A stochastic model of grain boundary dynamics: A Fokker-Planck perspective
Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
Many technologically useful materials are polycrystals composed of small monocrystalline grains that are separated by grain boundaries of crystallites with different lattice orient…
Grain Growth and the Effect of Different Time Scales
Katayun Barmak, Anastasia Dunca, Yekaterina Epshteyn +2
Many technologically useful materials are polycrystals composed of a myriad of small monocrystalline grains separated by grain boundaries. Dynamics of grain boundaries play a cruci…
Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag
Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
Many technologically useful materials are polycrystals composed of a myriad of small monocrystalline grains separated by grain boundaries. Dynamics of grain boundaries play an esse…
Motion of grain boundaries with dynamic lattice misorientations and with triple junctions drag
Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
Most technologically useful materials are polycrystalline microstructures composed of a myriad of small monocrystalline grains separated by grain boundaries. The energetics and con…