| Abstract: |
| The subject of this work is to construct a new approach to a parabolic-elliptic Keller--Segel system from its parabolic-parabolic case, and to use the parabolic-parabolic case as a step to establish new results in the parabolic-elliptic case. Our aim is, by considering that the parabolic-elliptic case is as a limit of its parabolic-parabolic system, to establish a result such that, only dealing with the parabolic-parabolic Keller--Segel system is enough to obtain the new properties for solutions of its parabolic-elliptic case. In this talk we consider fast signal diffusion limit in a Keller--Segel system, which namely is convergence of a solution for the parabolic-parabolic Keller--Segel system to that for its parabolic-elliptic version. |
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