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SUMMARY:Deterministic particle approximation of aggregation-diffusion equa
 tions - Sara Daneri (Gran Sasso Science Institute\, L'Aquila)
DTSTART:20220113T090000Z
DTEND:20220113T100000Z
UID:TALK166672@talks.cam.ac.uk
DESCRIPTION:We consider aggregation-diffusion equations on unbounded domai
 ns for arbitrary nonnegative and bounded initial densities. We show strong
  $L^1$ convergence of a deterministic particle scheme\, in the one-dimensi
 onal setting. In particular\, w.r.t. previous works\, no BV bounds or lowe
 r bounds on the densities are required. We also discuss the flexibility of
  the approach and extensions to other settings and discuss some numerical 
 simulations. This is a joint work with Emanuela Radici and Eris Runa.
LOCATION:Seminar Room 1\, Newton Institute
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