4 citations · 5 across the 4 of their papers we have counts for
6 papers
Self-propulsion dynamics of small droplets on general surfaces with curvature gradient
Yujuan Chen, Xianmin Xu
We study theoretically the self-propulsion dynamics of a small droplet on general curved surfaces by a variational approach. A new reduced model is derived based on careful computa…
A variational analysis for the moving finite element method for gradient flows
Xianmin Xu
By using the Onsager principle as an approximation tool, we give a novel derivation for the moving finite element method for gradient flow equations. We show that the discretized p…
Theoretical analysis for dynamic contact angle hysteresis on chemically patterned surfaces
Xianmin Xu, Xiaoping Wang
A dynamic wetting problem is studied for a moving thin fiber inserted in fluid and with a chemically inhomogeneous surface. A reduced model is derived for contact angle hysteresis…
Theoretical analysis for flattening of a rising bubble in a Hele-Shaw cell
Xianmin Xu, Masao Doi, Jiajia Zhou +1
We calculate the shape and the velocity of a bubble rising in an infinitely large and closed Hele-Shaw cell using Park and Homsy's boundary condition which accounts for the change…
Power-law scaling for solid-state dewetting of thin films: an Onsager variational approach
Wei Jiang, Xianmin Xu, Weizhu Bao +1
We examine the kinetics of surface diffusion-controlled, solid-state dewetting by consideration of the retraction of the contact in a semi-infinite solid thin film on a flat rigid…
Application of Onsager Machlup integral in solving dynamic equations in non-equilibrium systems
Masao Doi, Jiajia Zhou, Yana Di +1
In 1931, Onsager proposed a variational principle which has become the base of many kinetic equations for non-equilibrium systems. We have been showing that this principle is usefu…