6 papers
Dynamical stability of planar phase boundaries for hyperelastic materials of Hadamard type
Heinrich Freistühler, Lauro Morales, Ramón G. Plaza +1
The dynamical stability of laminates or planar phase boundaries for hyperelastic materials of Hadamard type in two space dimensions is studied. For that purpose, the stability func…
Time-periodic oscillating Néel walls in ferromagnetic thin films
Antonio Capella, Valentin Linse, Christof Melcher +2
This paper studies the existence, the structure and the spectral stability of time-periodic oscillating 180-degree Néel walls in ferromagnetic thin films. It is proved that time-pe…
Stability of moving Néel walls in ferromagnetic thin films
Antonio Capella, Christof Melcher, Lauro Morales +1
This paper studies moving 180-degree Néel walls in ferromagnetic thin films under the reduced model for the in-plane magnetization proposed by Capella, Melcher and Otto [5], in the…
Nonlinear Stability of Static Néel Walls in Ferromagnetic Thin Films
A. Capella, C. Melcher, L. Morales +1
In this paper, the nonlinear (orbital) stability of static 180^\circ Néel walls in ferromagnetic films, under the reduced wave-type dynamics for the in-plane magnetization proposed…
On the symmetric lamination convex and quasiconvex hull for the coplanar n-well problem in two dimensions
Antonio Capella, Lauro Morales
We study some particular cases of the -well problem in two-dimensional linear elasticity. Assuming that every well in belon…
On the quasiconvex hull for a three-well problem in two dimensional linear elasticity
Antonio Capella, Lauro Morales
We provide quantitative inner and outer bounds for the symmetric quasiconvex hull on linear strains generated by three-well sets in $\mathbb{R}^{2\…