Abstracts
- 9/8/00 -- 3:30pm -- Ewing 436
- Dr. Cyndi Spade
- Department of Mathematical Sciences
- University of Delaware
- "Mathematical modeling of frontal polymerization"
- Frontal polymerization (FP) is a process in which a
spatially localized reaction zone propagates into a monomer
converting it into a polymer. Two types of FP processes have
been observed experimentally. One is exothermic FP, which
occurs due to diffusion of heat released in the polymerization
reactions. The other is an isothermal FP process, which is
due to mass diffusion of the species coupled with the gel effect.
Our modeling efforts will be described in this talk. We determine,
both numerically and analytically, important characteristics of
the process including the structure of the reaction waves and their
propagation velocity. We compare our theoretical results with
available experimental data.
- 9/29/00 -- 3:30pm -- Ewing 436
- Prof Mike Miksis
- Department of Engineering Science and Applied Mathematics
- Northwestern University
- "Effects of surface diffusion on the stability of solid films and rods"
- Surface energy and elastic stress are
important factors in setting the
morphology of phases. In this
presentation, the speaker will discuss
the effects of these factors on the
stability and evolution of solid rods
and films via surface diffusion. He
will consider solid films governed by
capillary-driven surface diffusion,
which partially wet a substrate and
illustrate how the tri-junction
influences the dynamics. He will also
illustrate how elastic stress can
excite non-axisymmetric modes along a
rod that are preferred under certain
conditions.
Fall 2000 Applied Math Seminar List
Weekly Calendar
Department of Mathematical Sciences