The uniform boundedness and threshold for the global existence of the radial solution to a drift-diffusion system

The uniform boundedness and threshold for the global existence of the radial solution to a drift-diffusion system
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DOI:
10.3934/cpaa.2006.5.97
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发表时间:
2005-12
影响因子:
1
通讯作者:
Masaki Kurokiba;T. Nagai;T. Ogawa
Masaki Kurokiba;T. Nagai;T. Ogawa
中科院分区:
数学4区
文献类型:
--
作者:
Masaki Kurokiba;T. Nagai;T. Ogawa

文献摘要

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本文讨论了二维漂移扩散方程组径向解的整体存在性和一致有界性,该方程组是由半导体器件设计和自相互作用粒子的模拟得到的.在锐阈值条件下,证明了该问题解的时间整体存在性和一致有界性。
In this paper, we discuss the global existence and uniform boundedness of the radial solutions to the drift-diffusion system in two space dimension, which is derived from the simulation of semiconductor device design and self-interacting particles. It is shown that the time global existence and the uniform boundedness of the solution to the problem below the sharp threshold condition.