24 citations · 82 across the 12 of their papers we have counts for
12 papers
Coarsening of thin films with weak condensation
Hangjie Ji, Thomas P. Witelski
A lubrication model can be used to describe the dynamics of a weakly volatile viscous fluid layer on a hydrophobic substrate. Thin layers of the fluid are unstable to perturbations…
Taylor Dispersion in Osmotically Driven Laminar Flow in Phloem
M. Nakad, T. Witelski, J. C. Domec +2
Sucrose is among the main products of photosynthesis that are deemed necessary for plant growth and survival. It is produced in the mesophyll cells of leaves and translocated to di…
Steady-states of thin film droplets on chemically heterogeneous substrates
Weifan Liu, Thomas P. Witelski
We study steady-state thin films on a chemically heterogeneous substrates of finite size, subject to no-flux boundary conditions. Based on the structure of the bifurcation diagram,…
Dynamics of spiral waves in the complex Ginzburg-Landau equation in bounded domains
M. Aguareles, S. J. Chapman, T. Witelski
Multiple-spiral-wave solutions of the general cubic complex Ginzburg-Landau equation in bounded domains are considered. We investigate the effect of the boundaries on spiral motion…
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…
Thermal Marangoni-driven Dynamics of Spinning Liquid Films
Joshua A. Dijksman, Shomeek Mukhopadhyay, Robert P. Behringer +1
Spin coating of thin films of viscous liquids on a rotating substrate is a core technological component of semiconductor microchip fabrication. The thinning dynamics is influenced…
Instability and dynamics of volatile thin films
Hangjie Ji, Thomas P. Witelski
Volatile viscous fluids on partially-wetting solid substrates can exhibit interesting interfacial instabilities and pattern formation. We study the dynamics of vapor condensation a…
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…
Finite-time Thin Film Rupture Driven by Generalized Evaporative Loss
Hangjie Ji, Thomas Witelski
Rupture is a nonlinear instability resulting in a finite-time singularity as a fluid layer approaches zero thickness at a point. We study the dynamics of rupture in a generalized m…
Obtaining Self-similar Scalings in Focusing Flows
Joshua A. Dijksman, Shomeek Mukhopadhyay, Cameron Gaebler +2
The surface structure of converging thin fluid films displays self-similar behavior, as was shown in the work by Diez et al [Q. Appl. Math 210, 155, 1990]. Extracting the related s…
Motion of spiral waves in the Complex Ginzburg-Landau equation
M. Aguareles, S. J. Chapman
Solutions of the general cubic complex Ginzburg-Landau equation comprising multiple spiral waves are considered. For parameters close to the vortex limit, and for a system of spira…