5 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…
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…
Dynamics of the sine-Gordon equation on tadpole graphs
Jaime Angulo Pava, Ramón G. Plaza
This work studies the dynamics of solutions to the sine-Gordon equation posed on a tadpole graph and endowed with boundary conditions at the vertex of -type. The latter gen…
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-p…
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 propose…