3 papers
math.HO2026
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…
math.AP2025
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…
math.AP2025
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…