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Homogenisation of dynamical optimal transport on periodic graphs
Peter Gladbach, Eva Kopfer, Jan Maas +1
This paper deals with the large-scale behaviour of dynamical optimal transport on -periodic graphs with general lower semicontinuous and convex energy densities. Our…
Homogenisation of one-dimensional discrete optimal transport
Peter Gladbach, Eva Kopfer, Jan Maas +1
This paper deals with dynamical optimal transport metrics defined by spatial discretisation of the Benamou--Benamou formula for the Kantorovich metric . Such metrics appear na…
Coarea formulae and chain rules for the Jacobian determinant in fractional Sobolev spaces
Peter Gladbach, Heiner Olbermann
We prove weak and strong versions of the coarea formula and the chain rule for distributional Jacobian determinants for functions in fractional Sobolev spaces …
Scaling limits of discrete optimal transport
Peter Gladbach, Eva Kopfer, Jan Maas
We consider dynamical transport metrics for probability measures on discretisations of a bounded convex domain in . These metrics are natural discrete counterparts to…
Solvation in the Large Box Limit
Janusz Ginster, Peter Gladbach
In this paper, the authors study the limit of a sharp interface model for the solvation of charged molecules in an implicit solvent as the number of solute molecules and the size o…