4 papers
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…
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…