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4 CONCLUSION
Our numerical results, in the case of radially non-
symmetrical initial data (test 1 and 2), show that the blow-
up occurs at the nearest corner of the point of inoculation
from the 0.1 instant for n
0;1
and 0.4 for n
0;2
, which is com-
patible with cellular dynamics. In the case where the initial
datum is radially symmetrical(test3, the figures show that
the explosion of the solution of Keller-Segel classical mod-
els occurs at the center of the domain.
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The Finite Volume Method Applied to The Patlak-Keller-Segel Chemotaxis Model in a General Mesh
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