Corpus ID: 212725293

Analysis of a fourth order exponential PDE arising from a crystal surface jump process with Metropolis-type transition rates

@article{Gao2020AnalysisOA,
title={Analysis of a fourth order exponential PDE arising from a crystal surface jump process with Metropolis-type transition rates},
author={Yuan-xing Gao and Anya Katsevich and Jianguo Liu and Jianfeng Lu and Jeremy Louis Marzuola},
journal={arXiv: Analysis of PDEs},
year={2020}
}
We analytically and numerically study a fourth order PDE modeling rough crystal surface diffusion on the macroscopic level. We discuss existence of solutions globally in time and long time dynamics for the PDE model. The PDE, originally derived by the second author, is the continuum limit of a microscopic model of the surface dynamics, given by a Markov jump process with Metropolis type transition rates. We outline the convergence argument, which depends on a simplifying assumption on the local… Expand
3 Citations

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