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math.AP2026
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…
math.AP2026
Analysis of the sine-Gordon equation with a nonlinear -potential
Sergio Moroni, Ramón G. Plaza
This paper is devoted to the analysis of the following nonlinear wave equation \[ u_{tt} - u_{xx} + (1 + qδ_0(x)) \sin u = 0, \] where is the Dirac delta function ce…
math.AP2026
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…