17 citations · 17 across the 3 of their papers we have counts for
3 papers
math.AP2022
Derivation of the 1-D Groma-Balogh equations from the Peierls-Nabarro model
Stefania Patrizi, Tharathep Sangsawang
We consider a semi-linear integro-differential equation in dimension one associated to the half Laplacian whose solution represents the atom dislocation in a crystal. The equation…
math.DS2022★ 17 cited
Localized radial roll patterns in higher space dimensions
Jason J. Bramburger, Dylan Altschuler, Chloe I. Avery +4
Localized roll patterns are structures that exhibit a spatially periodic profile in their center. When following such patterns in a system parameter in one space dimension, the len…
math.AP2020
From the Peierls-Nabarro model to the equation of motion of the dislocation continuum
Stefania Patrizi, Tharathep Sangsawang
We consider a semi-linear integro-differential equation in dimension one associated to the half Laplacian %This model describes the evolution of phase transitions associated to dis…