Peter Gladbach

collaborators

4 papers

math.AP2019

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 $W_{2}$ . Such metrics appear na…

math.AP2019

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 $J u$ for functions $u$ in fractional Sobolev spaces $W^{s, p} (Ω)$ …

math.AP2018

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 $R^{d}$ . These metrics are natural discrete counterparts to…

math.AP2018

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…