Asymptotic PDE Models for Chemical Reactions and Diffusions
- Author(s): Tabrizian, Peyam Ryan
- Advisor(s): Evans, Lawrence C
- et al.
In this dissertation, I provide a fairly simple and direct proof of the asymptotics of the scaled Kramers-Smoluchowski equation in one dimension. I further generalize this result to the cases where the potential function H (1) has three or more wells, (2) is periodic, and (3) has infinitely many wells.