activity
20182024
most citedNon-Newtonian thin-film equations: global existence of solutions, gradient-flow structure and guaranteed lift-off

1 citations · 2 across the 12 of their papers we have counts for

collaborators

16 papers

math.AP2024

Stochastic homogenisation of nonlinear minimum-cost flow problems

Peter Gladbach, Jan Maas, Lorenzo Portinale

This paper deals with the large-scale behaviour of nonlinear minimum-cost flow problems on random graphs. In such problems, a random nonlinear cost functional is minimised among al…

math.PR2024

Stochastic homogenization of dynamical discrete optimal transport

Peter Gladbach, Eva Kopfer

The aim of this paper is to examine the large-scale behavior of dynamical optimal transport on stationary random graphs embedded in . Our primary contribution is a stochastic…

math.AP2024

Connecting disclinations by ridges

Peter Gladbach, Heiner Olbermann

We consider a thin elastic sheet with a finite number of disclinations in a variational framework in the Föppl-von Kármán approximation. Under the non-physical assumption that the…

math.AP2024

Variational interacting particle systems and Vlasov equations

Peter Gladbach, Bernhard Kepka

We consider optimization problems for interacting particle systems. We show that critical points solve a Vlasov equation, and that in general no minimizers exist despite continuity…

math.AP2023

Consistent and convergent discretizations of Helfrich-type energies on general meshes

Vincent Degrooff, Peter Gladbach, Heiner Olbermann

We show that integral curvature energies on surfaces of the type have discrete versions for triangular complexes, where t…

math.AP2023★ 1 cited

Non-Newtonian thin-film equations: global existence of solutions, gradient-flow structure and guaranteed lift-off

Peter Gladbach, Jonas Jansen, Christina Lienstromberg

We study the gradient-flow structure of a non-Newtonian thin film equation with power-law rheology. The equation is quasilinear, of fourth order and doubly-degenerate parabolic. By…