24 citations · 82 across the 12 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2019
Steady states and dynamics of a thin film-type equation with non-conserved mass
Hangjie Ji, Thomas P. Witelski
We study the steady states and dynamics of a thin film-type equation with non-conserved mass in one dimension. The evolution equation is a nonlinear fourth-order degenerate parabol…
math.AP2017★ 4 cited
A vicinal surface model for epitaxial growth with logarithmic free energy
Yuan Gao, Hangjie Ji, Jian-Guo Liu +1
We study a continuum model for solid films that arises from the modeling of one-dimensional step flows on a vicinal surface in the attachment-detachment-limited regime. The resulti…
math.AP2017★ 4 cited
Global existence of solutions to a tear film model with locally elevated evaporation rates
Yuan Gao, Hangjie Ji, Jian-Guo Liu +1
Motivated by a model proposed by Peng et al. [Advances in Coll. and Interf. Sci. 206 (2014)] for break-up of tear films on human eyes, we study the dynamics of a generalized thin f…