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math.AP2024
Stacking faults in the limit of a discrete model for partial edge dislocations
Annika Bach, Marco Cicalese, Adriana Garroni +1
In the limit of vanishing lattice spacing we provide a rigorous variational coarse-graining result for a next-to-nearest neighbor lattice model of a simple crystal. We show that th…
math.AP2023
Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings
Giuseppe Maria Coclite, Nicola De Nitti, Francesco Maddalena +2
We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modelling a one-dimensional linearly elastic body…