Janusz Ginster

activity

20182025

Γ

-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

collaborators

9 papers

math.AP2025

On the formation of microstructure and the occurrence of vortices in a singularly perturbed energy related to helimagnetism: a scaling law result

Janusz Ginster

In this work, singularly perturbed energies arising from discrete $J_{1}$ - $J_{3}$ -models are studied. The energies under consideration consist of a non-convex bulk term and a higher-or…

math.AP2025

Derivation of the Reissner-Mindlin model from nonlinear elasticity

Tamara Fastovska, Janusz Ginster, Barbara Zwicknagl

We discuss how the Reissner-Mindlin plate model can be derived from three-dimensional finite elasticity in terms of $Γ$ -convergence. The presence of transverse shear effects in the…

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…

math.AP2022

An anisotropic Poincaré inequality in $GS B V^{p}$ and the limit of strongly anisotropic Mumford-Shah functionals

Janusz Ginster, Peter Gladbach

We show that functions in $GS B V^{p}$ in three-dimensional space with small variation in $2$ of $3$ directions are close to a function of one variable outside an exceptional set. Boun…

math.AP2021

The Euler-Bernoulli limit of thin brittle linearized elastic beams

Peter Gladbach, Janusz Ginster

We show that the linear brittle Griffith energy on a thin rectangle $Γ$ -converges after rescaling to the linear one-dimensional brittle Euler-Bernoulli beam energy. In contrast to…

math.AP2020

Rotations with Constant Curl are Constant

Amit Acharya, Janusz Ginster

It is a classical result that if $u \in C^{2} (R^{n}; R^{n})$ and $\nabla u \in S O (n)$ it follows that $u$ is rigid. In this article this result is generalized to matrix…

math.AP2018

Solvation in the Large Box Limit

Janusz Ginster, Peter Gladbach

In this paper, the authors study the limit of a sharp interface model for the solvation of charged molecules in an implicit solvent as the number of solute molecules and the size o…

math.AP2018★ 19 cited

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

Janusz Ginster

In this paper, a strain-gradient plasticity model is derived from a mesoscopic model for straight parallel edge dislocations in an infinite cylindrical crystal. The main difference…

On the formation of microstructure and the occurrence of vortices in a singularly perturbed energy related to helimagnetism: a scaling law result

Derivation of the Reissner-Mindlin model from nonlinear elasticity

Microstructures in a two-dimensional frustrated spin system: Scaling regimes and a discrete-to-continuum limit

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

An anisotropic Poincaré inequality in GSBVp and the limit of strongly anisotropic Mumford-Shah functionals

The Euler-Bernoulli limit of thin brittle linearized elastic beams

Rotations with Constant Curl are Constant

Solvation in the Large Box Limit

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

An anisotropic Poincaré inequality in $GS B V^{p}$ and the limit of strongly anisotropic Mumford-Shah functionals

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