ON LARGE TIME BEHAVIOR OF GROWTH BY BIRTH AND SPREAD
ON LARGE TIME BEHAVIOR OF GROWTH BY BIRTH AND SPREAD
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论通过出生和传播而增长的长期行为
DOI：
10.1142/9789813272880_0139
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Y. Giga
中科院分区：
文献类型：
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作者：
Y. Giga
。这本质上是一篇关于一些简单的出生和扩散模型的解的大时间行为的综述论文，这些模型描述了晶体表面的生长。本文所讨论的模型包括水平集flow方程和带源项的Ikonal或Ikonal-Curvatureflow方程。研究了称为增长率的大时间渐近速度。作为应用，给出了用各向异性球面曲率fi法生长晶体的渐近过程的一个简单证明。
. This is essentially a survey paper on a large time behavior of solutions of some simple birth and spread models to describe growth of crystal surfaces. The models discussed here include level-set flow equations of eikonal or eikonal-curvature flow equations with source terms. Large time asymptotic speed called growth rate is studied. As an application, a simple proof is given for asymptotic profile of crystal grown by anisotropic eikonal-curvature flow.