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Long time behavior of dynamic solution to Peierls--Nabarro dislocation model
| Content Provider | Semantic Scholar |
|---|---|
| Author | Gao, Yuan Liu, Jian-Guo |
| Copyright Year | 2019 |
| Abstract | 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 to a shifted steady profile which is uniquely determined. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/1907.02002 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1907.02002v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
