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20072026
most citedStates of Low Energy on Robertson-Walker Spacetimes

55 citations · 94 across the 21 of their papers we have counts for

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math.AP2026

Formation of shear bands through discrete localized plastic increments

Heiner Olbermann, Hidde Schönberger

We study rate-independent systems in which the evolution is obtained by incremental minimization of elastic energy and one-homogeneous dissipation under constraints on the admissib…

math.AP2024

Interacting phase fields yielding phase separation on surfaces

Benjamin Lledos, Roberta Marziani, Heiner Olbermann

In the present article we study diffuse interface models for two-phase biomembranes. We will do so by starting off with a diffuse interface model on defined by two c…

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.AP2023

Phase separation on varying surfaces and convergence of diffuse interface approximations

Heiner Olbermann, Matthias Röger

In this paper we consider phase separations on (generalized) hypersurfaces in Euclidian space. We consider a diffuse surface area (line tension) energy of Modica-Mortola type and p…

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.AP2021

Godunov variables and convex entropy for relativistic fluid dynamics with bulk viscosity

Heiner Olbermann

Based on the conservation-dissipation formalism proposed by Zhu and collaborators we formulate a general version of the Israel-Stewart theory for relativistic fluid dynamics with b…