3 papers
math.AP2025
On surface energies in scaling laws for singular perturbation problems for martensitic phase transitions
Angkana Rüland, Camillo Tissot, Antonio Tribuzio +1
The objective of this article is to compare different surface energies for multi-well singular perturbation problems associated with martensitic phase transformations involving hig…
math.AP2024
Large norm inflation of the current in the viscous, non-resistive magnetohydrodynamics equations
Michele Dolce, Niklas Knobel, Christian Zillinger
We consider the ideally conducting, viscous magnetohydrodynamics (MHD) equations in two dimensions. Specifically, we study the nonlinear dynamics near a combination of Couette flow…
math.AP2024
On a -Structure in Geometrically Linearized Elasticity: Qualitative and Quantitative Analysis and Numerical Simulations
Roman Indergand, Dennis Kochmann, Angkana Rüland +2
We study the rigidity properties of the -structure for the symmetrized gradient from \cite{BFJK94} qualitatively, quantitatively and numerically. More precisely, we complement…