Abstract
We consider a parabolic-elliptic system of partial differential equations modelling the chemotaxis. We assume that the concentration of the organisms cannot exceed a limit value A. Consequently, a free boundary can exist separating a region where A = A from the region where A < A. In this paper we generalize the results of our privious study of the one-dimensional free boundary problem to the two-and three-dimensional radial symmetric cases.
| Original language | English GB |
|---|---|
| Pages (from-to) | 685-708 |
| Journal | Advances in Mathematical Sciences and Applications |
| Volume | 12 |
| Issue number | 2 |
| State | Published - 2002 |