Department of Mathematics

Analysis and PDE

  •  Olga Turanova , MSU
  •  Approximating degenerate diffusion via nonlocal equations
  •  04/19/2023
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall
  •  Willie Wai-Yeung Wong (wongwil2@msu.edu)

In this talk, I'll describe a deterministic particle method for the weighted porous medium equation. The key idea behind the method is to approximate the PDE via certain highly nonlocal continuity equations. The formulation of the method and the proof of its convergence rely on the Wasserstein gradient flow formulation of the aforementioned PDEs. This is based on joint work with Katy Craig, Karthik Elamvazhuthi, and Matt Haberland.

 

Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

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