Large Time Asymptotic Behavior Of Grain Boundaries Motion With Dynamic Lattice Misorientations And With Triple Junctions Drag

Yekaterina Epshteyn; Chun Liu; Masashi Mizuno

doi:10.4310/CMS.2021.v19.n5.a10

Large Time Asymptotic Behavior Of Grain Boundaries Motion With Dynamic Lattice Misorientations And With Triple Junctions Drag

Yekaterina Epshteyn, Chun Liu, Masashi Mizuno

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1403-1428
Number of pages	26
Journal	Communications in Mathematical Sciences
Volume	19
Issue number	5
DOIs	https://doi.org/10.4310/CMS.2021.v19.n5.a10
State	Published - 2021

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.4310/CMS.2021.v19.n5.a10

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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.",

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AB - 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.

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Large Time Asymptotic Behavior Of Grain Boundaries Motion With Dynamic Lattice Misorientations And With Triple Junctions Drag

Abstract

All Science Journal Classification (ASJC) codes

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