22 citations · 202 across the 36 of their papers we have counts for
4 papers · 2 filters
Gradient flow approach to an exponential thin film equation: global existence and latent singularity
Yuan Gao, Jian-Guo Liu, Xin Yang Lu
In this work, we study a fourth order exponential equation, derived from thin film growth on crystal surface in multiple space dimensions. We use the gradient flow…
Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface
Yuan Gao, Jian-Guo Liu, Xin Yang Lu +1
In this work we consider which is derived from a thin film equation for epitaxial growth on vicinal surface. We formulate the pr…
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…
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…