X. Lu

activity

20142024

most citedGradient flow approach to an exponential thin film equation: global existence and latent singularity

18 citations · 47 across the 10 of their papers we have counts for

collaborators

Showing 2017 · math.APShow all

2 papers · 2 filters

math.AP2017★ 18 cited

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, $u_{t} = Δ e^{- Δ u},$ derived from thin film growth on crystal surface in multiple space dimensions. We use the gradient flow…

math.AP2017★ 13 cited

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 $w_{t} = [(w_{hh} + c_{0})^{- 3}]_{hh}, w (0) = w^{0},$ which is derived from a thin film equation for epitaxial growth on vicinal surface. We formulate the pr…