Heriot-Watt Mathematics Report Series
HWM97-33, 22 October 1997
A priori bounds and global existence of solutions of the steady state Sel'kov model
FA Davidson and BP Rynne
We consider the system of reaction-diffusion equations known as the Sel'kov
This model has been applied to various problems in chemistry and biology.
We obtain a priori bounds on the size of the positive, steady state
solutions of the system, defined on bounded domains in $\R^n$, $1 \le n \le 3$
(this is the physically relevant case).
Previously, such bounds had been obtained in the case $n=1$ under more
We also obtain regularity results on the smoothness of such solutions
and show that non-trivial solutions exist for a wide range of
Google Scholar Search: links, citations and journal (if available)
Full text: http://www.ma.hw.ac.uk/~bryan/ps_files/bounds.ps.Z
Contact Details | 1997 Reports Index |