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math.AP2021★ 2 cited
Dynamic optimal transport on networks
Martin Burger, Ina Humpert, Jan-Frederik Pietschmann
We study a dynamic optimal transport problem on a network. Despite the cost for transport along the edges, an additional cost, scaled with a parameter , has to be paid for inter…
math.AP2018
On Fokker-Planck Equations with In- and Outflow of Mass
Martin Burger, Ina Humpert, Jan-Frederik Pietschmann
Motivated by modeling transport processes in the growth of neurons, we present results on (nonlinear) Fokker-Planck equations where the total mass is not conserved. This is either…