Long time behavior of dynamic solution to Peierls–Nabarro dislocation model
Long time behavior of dynamic solution to Peierls–Nabarro dislocation model
In this paper we study the relaxation process of Peierls-Nabarro dislocation model, which is a gradient flow with singular nonlocal energy and double well potential describing how the materials relax to its equilibrium with the presence of a dislocation. We prove the dynamic solution to Peierls-Nabarro model will converge exponentially …