Pattern formation in the Extended Fisher Kolmogorov equation
Document Type
Presentation Abstract
Presentation Date
3-25-1999
Abstract
The classical second order Fisher-Kolmogorov equation has played an important role in studies of pattern formation in bistable physical systems. A natural extension of this equation was proposed in 1987 as a prototype model for higher order bistable systems. Depending on the value of the coefficient of the highest order derivative, the equation exhibits a plethora of complicated patterns. These include multi-bump periodic solutions, kinks, solitons, and chaos. We will discuss a method of analysis which leads to simple existence proofs of such patterns.
Recommended Citation
Troy, Dr. William C., "Pattern formation in the Extended Fisher Kolmogorov equation" (1999). Colloquia of the Department of Mathematical Sciences. 40.
https://scholarworks.umt.edu/mathcolloquia/40
Additional Details
Thursday, 25 March 1999
4:10 p.m. in MA 109
Coffee/Tea/Treats 3:30 p.m. in MA 104 (Lounge)
Remark: Dr. Troy will also present a talk in the Chemistry Colloquium on Monday, March 29 at 4 p.m. in Chemistry 109 titled "Solutions of the one dimensional Ginzburg-Landau model of superconductivity".