@article{957c6124587c4c6fb8f6e0469182bc99,
title = "Large Time Asymptotic Behavior Of Grain Boundaries Motion With Dynamic Lattice Misorientations And With Triple Junctions Drag",
abstract = "Many technologically useful materials are polycrystals composed of a myriad of small monocrystalline grains separated by grain boundaries. Dynamics of grain boundaries play an essential role in defining the material's properties across multiple scales. In this work, we study the largetime asymptotic behavior of the model for the motion of grain boundaries with the dynamic lattice misorientations and the triple junctions drag.",
author = "Yekaterina Epshteyn and Chun Liu and Masashi Mizuno",
note = "Funding Information: ful discussions, inspiration and motivation of the work. The authors are also grateful to the anonymous referees for their valuable remarks and questions, which led to significant improvement of the manuscript. Yekaterina Epshteyn and Masashi Mizuno acknowledge partial support of Simons Foundation Grant No. 415673, Yekaterina Epshteyn also acknowledges partial support of NSF DMS-1905463, Masashi Mizuno also acknowledges partial support of JSPS KAKENHI Grant No. 18K13446, Chun Liu acknowledges par- tial support of NSF DMS-1759535 and NSF DMS-1759536. Yekaterina Epshteyn would like to thank Nihon University for the hospitality during her visit and Masashi Mizuno also would like to thank Penn State University, Illinois Institute of Technology and the University of Utah for the hospitality during his visits. Funding Information: The authors are grateful to David Kinderlehrer for the fruitful discussions, inspiration and motivation of the work. The authors are also grateful to the anonymous referees for their valuable remarks and questions, which led to significant improvement of the manuscript. Yekaterina Epshteyn and Masashi Mizuno acknowledge partial support of Simons Foundation Grant No. 415673, Yekaterina Epshteyn also acknowledges partial support of NSF DMS-1905463, Masashi Mizuno also acknowledges partial support of JSPS KAKENHI Grant No. 18K13446, Chun Liu acknowledges par-tial support of NSF DMS-1759535 and NSF DMS-1759536. Yekaterina Epshteyn would like to thank Nihon University for the hospitality during her visit and Masashi Mizuno also would like to thank Penn State University, Illinois Institute of Technology and the University of Utah for the hospitality during his visits. Publisher Copyright: {\textcopyright} 2021 International Press",
year = "2021",
doi = "10.4310/CMS.2021.v19.n5.a10",
language = "English (US)",
volume = "19",
pages = "1403--1428",
journal = "Communications in Mathematical Sciences",
issn = "1539-6746",
publisher = "International Press of Boston, Inc.",
number = "5",
}