13 citations · 16 across the 7 of their papers we have counts for
11 papers
Effective Hamiltonian Dynamics via the Maupertuis Principle
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer
We consider the dynamics of a Hamiltonian particle forced by a rapidly oscillating potential in -dimensional space. As alternative to the established approach of averaging Ha…
Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential
Boris Buffoni, Hartmut Schwetlick, Johannes Zimmer
The Frenkel-Kontorova model for dislocation dynamics from 1938 is given by a chain of atoms, where neighbouring atoms interact through a linear spring and are exposed to a smooth p…
Travelling waves for a Frenkel-Kontorova chain
Boris Buffoni, Hartmut Schwetlick, Johannes Zimmer
In this article, the Frenkel-Kontorova model for dislocation dynamics is considered, where the on-site potential consists of quadratic wells joined by small arcs, which can be spin…
A convergent string method: Existence and approximation for the Hamiltonian boundary-value problem
Hartmut Schwetlick, Johannes Zimmer
This article studies the existence of long-time solutions to the Hamiltonian boundary value problem, and their consistent numerical approximation. Such a boundary value problem is,…
On the -limit for a non-uniformly bounded sequence of two phase metric functionals
Hartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer
In this study we consider the -limit of a highly oscillatory Riemannian metric length functional as its period tends to 0. The metric coefficient takes values in either $\{1,\in…
The second-order -flow of inextensible elastic curves with hinged ends in the plane
Chun-Chi Lin, Yang-Kai Lue, Hartmut R. Schwetlick
In the paper published in Duke Math. J. 1993, Y. Wen studied a second-order parabolic equation for inextensible elastic \emph{closed} curves in toward inextensible…