Janusz Ginster

activity

20182025

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-Limit of a Two-Dimensional Dislocation Energy: the Critical Regime without the Assumption of Well-Separateness

19 citations · 19 across the 7 of their papers we have counts for

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Showing 2024 · math.APShow all

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math.AP2024

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 $J_{1}$ - $J_{3}$ - spin model on a two-dimensional square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin field…

math.AP2024

On the Effect of Geometry on Scaling Laws for a Class of Martensitic Phase Transformations

Janusz Ginster, Angkana Rüland, Antonio Tribuzio +1

We study scaling laws for singular perturbation problems associated with a class of two-dimensional martensitic phase transformations and deduce a domain dependence of the scaling…