紀要論文 ON LARGE TIME BEHAVIOR OF GROWTH BY BIRTH AND SPREAD

Giga, Yoshikazu

内容記述
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.
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https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68261/1/Giga20171129.pdf

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