Workshops

Asymptotic stability of stationary solutions to degenerate Keller-Segel systems in sub-critical

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Yoshie Sugiyama

2012-03-18
10:00:00 - 10:50:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)



We deal with the Keller-Segel system of degenerate type which describes the motion of the chemotaxis molds. In the super critical case, it was shown in 2006 that the solution behaves like “the Barenblatt solution” asymptotically as the time goes to the infinity. The purpose of my talk is addressed to the sub-critical cases. We first show that there exists a non-trivial stationary solution which is uniquely determined up to

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