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) over bar. Consequently, a free boundary can exist separating a region where A = (A) over bar from the region where A < (A) over bar. 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.
Free boundary in radial symmetric chemotaxis / M.Primicerio; B.Zaltzmann. - STAMPA. - (2002), pp. 416-427. [10.1142/9789812777331_0053]
Free boundary in radial symmetric chemotaxis
PRIMICERIO, MARIO;
2002
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) over bar. Consequently, a free boundary can exist separating a region where A = (A) over bar from the region where A < (A) over bar. 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.
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