Gradient bounds for plasma confinement
作者:
I. Stakgold,
G. C. Hsiao,
期刊:
Mathematical Methods in the Applied Sciences
(WILEY Available online 1980)
卷期:
Volume 2,
issue 1
页码: 68-72
ISSN:0170-4214
年代: 1980
DOI:10.1002/mma.1670020107
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractThe problem of plasma confinement in a Tokomak machine has recently attracted considerable mathematical attention. In the present article, gradient bounds for the solution are obtained through the use of differential inequalities and the Hopf maximum principle. These estimates, which take slightly different forms in the plasma and vacuum regions, become exact in the one‐dimensional case. An estimate is also given for the distance from the boundary of the interior point where the maximum of the solution is attaine
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