Blowup phenomena in nonlocal and nonlinear conservation laws

25 January 2018
Grzegorz Karch

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.

  • PDE CDT Lunchtime Seminar