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Weak solutions to a parabolic-elliptic system of chemotaxis. (English) Zbl 1005.35026
This paper concerns a parabolic-elliptic system of partial differential equations arising in mathematical biology. The case when the domain is a flat torus is investigated. It is shown that the post blow-up continuation of the solution may occur only when the singularities are quantized with the mass \(8\pi\).

MSC:
35B60 Continuation and prolongation of solutions to PDEs
92C17 Cell movement (chemotaxis, etc.)
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