4 papers
Coupled Surface Diffusion and Mean Curvature Motion: Axisymmetric Steady States with Two Grains and a Hole
Katrine Golubkov, Amy Novick-Cohen, Yotam Vaknin
The evolution of two grains, which lie on a substrate and are in contact with each other, can be roughly described by a model in which the exterior surfaces of the grains evolve by…
Self-Similar Grooving Solutions to the Mullins' Equation
Habiba Kalantarova, Amy Novick-Cohen
In 1957, Mullins proposed surface diffusion motion as a model for thermal grooving. By adopting a small slope approximation, he reduced the model to the Mullins' linear surface dif…
The thin film equation with backwards second order diffusion
Amy Novick-Cohen, Andrey Shishkov
In this paper, we focus on the thin film equation with lower order "backwards" diffusion which can describe, for example, the evolution of thin viscous films in the presence of gra…
Cluster Coagulation and Growth Limited by Surface Interactions with Polymers
Horacio G. Rotstein, Amy Novick-Cohen, Rina Tannenbaum
The physical and chemical properties of metal nanoparticles differ significantly from those of free metal atoms as well as from the properties of bulk metals, and therefore, they m…