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arXiv 0911.4935math.AP
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Lifschitz-Slyozov-Wagner方程粗化率的界

Bounds on coarsening rates for the Lifschitz-Slyozov-Wagner equation

Joseph G. Conlon

摘要:

本文研究Lifschitz-Slyozov-Wagner(LSW)方程组解的大时间性态。逐点在时间上的上界和下界的粗化率得到的解决方案与相当一般的初始数据。这些边界补充了戴和Pego获得的时间平均上界,以及Niethammer和Velasquez获得的初始数据接近自相似解的解的时间上界和下界。

英文摘要:

This paper is concerned with the large time behavior of solutions to the Lifschitz-Slyozov-Wagner (LSW) system of equations. Point-wise in time upper and lower bounds on the rate of coarsening are obtained for solutions with fairly general initial data. These bounds complement the time averaged upper bounds obtained by Dai and Pego, and the point-wise in time upper and lower bounds obtained by Niethammer and Velasquez for solutions with initial data close to a self-similar solution.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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