Publications [#354039] of Jian-Guo Liu

Papers Published

1. Gao, Y; Liu, JG, LONG TIME BEHAVIOR OF DYNAMIC SOLUTION TO PEIERLS–NABARRO DISLOCATION MODEL, Methods and Applications of Analysis, vol. 27 no. 2 (January, 2020), pp. 161-198, International Press of Boston [doi] [reputed journal]
   (last updated on 2026/01/14)

   Abstract:
   In this paper we study the relaxation process of the Peierls-Nabarro dislocation model, which is a gradient flow with a singular nonlocal energy and a double well potential describing how the materials relax to its equilibrium with the presence of a dislocation. We prove the dynamic solution to the Peierls-Nabarro model will converge exponentially to a shifted steady profile which is uniquely determined.