19 citations · 21 across the 3 of their papers we have counts for
3 papers
nlin.PS2021
Patterns formed in a thin film with spatially homogeneous and non-homogeneous Derjaguin disjoining pressure
A. S. Alshaikhi, M. Grinfeld, S. K. Wilson
We consider patterns formed in a two-dimensional thin film on a planar substrate with a Derjaguin disjoining pressure and periodic wettability stripes. We rigorously clarify some o…
nlin.AO2011★ 19 cited
Capture-zone distribution in one-dimensional sub-monolayer film growth: a fragmentation theory approach
M. Grinfeld, W. Lamb, P. A. Mulheran +1
The distribution of capture zones formed during the nucleation and growth of point islands on a one-dimensional substrate during monomer deposition is considered for general critic…
math.DS2010★ 2 cited
Finite to infinite steady state solutions, bifurcations of an integro-differential equation
S. K. Bhowmik, D. B. Duncan, M. Grinfeld +1
We consider a bistable integral equation which governs the stationary solutions of a convolution model of solid--solid phase transitions on a circle. We study the bifurcations of t…