Cellular networks are ubiquitous in nature. Most technologically useful materials arise as polycrystalline microstructures, composed of a myriad of small crystallites, the grains, separated by interfaces, the grain boundaries. The coarsening of these networks is of obvious concern for applications and has been since pre-history. Any order in the...
Creator:
Kinderlehrer, David (Carnegie Mellon University)
Created:
2014-05-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Motivated by the dewetting of viscous thin films on hydrophobicsubstrates, we study models for the coarsening dynamics of interactinglocalized structures in one dimension.For the thin films problem, lubrication theoryyields a Cahn-Hilliard-type governing PDE which describes spinodal dewettingand the subsequent formation of arrays of metastable f...
Creator:
Witelski, Thomas Peter (Duke University)
Created:
2009-03-23
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.