Date
Thu, 25 Jan 2018
12:00
Location
L5
Speaker
Grzegorz Karch
Organisation
University of Wrocław


Recent results on viscous conservation laws with nonlocal flux will be presented. Such models contain, as a particular example, the celebrated parabolic-elliptic Keller-Segel model of chemotaxis. Here, global-in-time solutions are constructed under (nearly) optimal assumptions on the size of radial initial data. Moreover, criteria for blowup of solutions in terms of their local concerntariotions will be derived.

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