Differential Equations and Nonlinear Analysis Seminar: Michael Goldman, CMAP, Ecole Polytechnique, TBA
ZoomSpeaker's website: http://www.cmap.polytechnique.fr/~michael.goldman/ Zoom meeting: link
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Differential Equations Seminar
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Differential Equations and Nonlinear Analysis Seminar: David Salas, Universidad de O’Higgins, Chile, TBA
ZoomSpeaker's website: https://davidsalasvidela.cl/ Zoom meeting: link
Differential Equations and Nonlinear Analysis Seminar: Stefania Patrizi, The University of Texas at Austin, The Discrete Dislocation Dynamics of Multiple Dislocation Loops
SAS 4201We consider a nonlocal reaction-diffusion equation that physically arises from the classical Peierls–Nabarro model for dislocations in crystalline structures. Our initial configuration corresponds to multiple slip loop dislocations in $\mathbb R^n$, $n\geq 2$. After suitably rescaling the equation with a small phase parameter $\epsilon>0$, the rescaled solution solves a fractional Allen–Cahn equation. We show that,…