[1]刘玉清.一个自由边界带源及动力学条件的 Stefan 问题解的收敛性[J].常州大学学报(自然科学版),2002,(01):48-50.
　LIU Yu -qing.The Convergence of the Solution on the Stefan Problem with Resource and a Kinetic Condition at the Free Boundary in one Dimension[J].Journal of Changzhou University(Natural Science Edition),2002,(01):48-50.
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一个自由边界带源及动力学条件的 Stefan 问题解的收敛性()
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常州大学学报(自然科学版)[ISSN:2095-0411/CN:32-1822/N]

卷:
期数:
2002年01期
页码:
48-50
栏目:
出版日期:
2002-03-25

文章信息/Info

Title:
The Convergence of the Solution on the Stefan Problem with Resource and a Kinetic Condition at the Free Boundary in one Dimension
作者:
刘玉清
江苏石油化工学院信息科学系, 江苏常州213016
Author(s):
LIU Yu -qing
Department of Info rmation Science , Jiang su Insti tute of Pet rochemical Technology , Changzhou 213016 , China
关键词:
自由边界; 单调性; 收敛性
Keywords:
f ree boundary ; Monotonici ty ; convergence
分类号:
O 175.8
文献标志码:
A
摘要:
讨论自由边界条件为- xuε(x , t) =λ+εh′ε(t) 的St ef an 问题, 通过其自由边界的单调性证明了解在一定的条件下的收敛性
Abstract:
We discuss a Stefan Problem with Free Boundary Condition Such as :- xuε (x , t) =λ+εh′ε (t), get a uniform estimate of the solution w ith respect to ε>0 by utilizing the Monoto nicity of the free boundary , naturally the co nvergence of solutio n is proved .

参考文献/References:

[1] XIE WEIQING.The Stefan Problem w ith a Kinetic Condi tion at the Free Boundary [J] .Siam J Math Anal , 1990 , 21 (2):362 -373 .
[2] Jiang L , Xie W.A Paraboli c Equat ion with Discon tinuous Coef ficient s and Asignorini -t ype Int erface Condition [J] .Act a Sci Natu r Univ Pekinensis , 1986 (3):1 -14 .
[3] Jiang L , Xie W.A Tw o -phase St efan -signorini Problem [J] . Acta Sci Natur Univ Pekinensi s, 1986 (5):1 -14 .
[4] 辜联琨.二阶抛物型偏微分方程[M] .厦门:厦门大学出版 社, 1995.

相似文献/References:

[1]刘玉清,沃松林.一个非定常自由边界问题解的存在、唯一性[J].常州大学学报(自然科学版),2001,(04):56.
　LIU Yu -qing,WO So ng -lin.The Existence and Uniqueness of Solutions on a Nonstationary Free Boundary Problem[J].Journal of Changzhou University(Natural Science Edition),2001,(01):56.

备注/Memo

备注/Memo:
作者简介:刘玉清(1964 -), 男, 江苏常州人, 硕士, 主要从事偏微分方程方面的工作。
更新日期/Last Update: 2002-03-25