Manchester Applied Mathematics and Numerical Analysis Seminars

Winter 1998

September 30, 1998, 2.30 pm

Lecture Theatre D13 Material Science

Relativistic Hamilton-Jacobi Dynamics of Wave Front for Reaction-Diffusion System Method

Sergei Fedotov Mathematics Department, UMIST

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.

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For further info contact either Matthias Heil (mheil@ma.man.ac.uk), Mark Muldoon (M.Muldoon@umist.ac.uk)or the seminar secretary (Tel. 0161 275 5800).

Page last modified: September 24, 1998

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