Manchester Applied Mathematics and Numerical Analysis Seminars
Lecture Theatre D13 Material Science
The problem of wavefront propagation for the n-dimensional reaction-diffusion system involving Kolmogorov-Petrovskii-Piskunov kinetics and the diffusion transport with a finite velocity has been considered. We have given an asymptotic derivation of the equation governing the evolution of reaction front in the geometric optic approximation. It has been found that this equation is identical in form to the relativistic Hamilton-Jacobi equation. In the case of the constant value of chemical rate function we have found the exact formulas for the position of reaction front and the speed of propagation by using the relativistic mechanics techniques.
For further info contact either Matthias Heil (email@example.com), Mark Muldoon (M.Muldoon@umist.ac.uk)or the seminar secretary (Tel. 0161 275 5800).