3 citations · 3 across the 3 of their papers we have counts for
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Microstructures in a two-dimensional frustrated spin system: Scaling regimes and a discrete-to-continuum limit
Janusz Ginster, Melanie Koser, Barbara Zwicknagl
We study pattern formation within the - - spin model on a two-dimensional square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin field…
A scaling law for a model of epitaxially strained elastic films with dislocations
Lukas Abel, Janusz Ginster, Barbara Zwicknagl
A static variational model for shape formation in heteroepitaxial crystal growth is considered. The energy functional takes into account surface energy, elastic misfit-energy and n…
Higher Sobolev Regularity of Convex Integration Solutions in Elasticity
Angkana Rüland, Christian Zillinger, Barbara Zwicknagl
In this article we discuss quantitative properties of convex integration solutions arising in problems modeling shape-memory materials. For a two-dimensional, geometrically lineari…