Ning Duan, Xiaopeng Zhao, Bo Liu
Abstract:
In this article, we consider the existence and uniqueness of global
solutions for a fourth-order nonlinear evolution equation which
models the formation of facets and corners in the course of kinetically
controlled crystal growth. Moreover, the existence of global attractor
in
and
space is also considered.
Submitted August 24, 2012. Published July 19, 2013.
Math Subject Classifications: 35B41, 35K55.
Key Words: Fourth-order nonlinear evolution equation; existence;
uniqueness; global attractor.
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Ning Duan College of Mathematics, Jilin University Changchun 130012, China email: 123332453@qq.com |
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Xiaopeng Zhao School of Science, Jiangnan University Wuxi 214122, China email: zxp032@126.com |
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Bo Liu College of Mathematics, Jilin University Changchun 130012, China email: liubom@jlu.edu.cn |
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