Rosseland方程及其均匀化方程的存在性理论

张乔夫; 崔俊芝

doi:10.3879/j.issn.1000-0887.2012.12.010

Rosseland方程及其均匀化方程的存在性理论

doi: 10.3879/j.issn.1000-0887.2012.12.010

中国科学院数学与系统科学研究院, ICMSEC,科学与工程计算国家重点实验室, 北京 100190

基金项目: 973计划资助项目(2012CB025904); 国家自然科学基金资助项目(90916027)

详细信息

作者简介:
张乔夫(1985—), 男, 河南洛阳人, 博士(联系人. Tel: +86-10-62568715;E-mail: zhangqf@lsec.cc.ac.cn).

中图分类号: O175.29
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出版历程
- 收稿日期: 2011-12-01
- 修回日期: 2012-06-15
- 刊出日期: 2012-12-15

Existence Theory for Rosseland Equation and Its Homogenized Equation

LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P.R.China

摘要

摘要: 给出了带一般增长条件的Rosseland型方程解的整体有界性和存在性．在一个闭凸集中定义一个线性化映射．像集是预紧的且这个映射是连续的,因此存在一个不动点．利用多尺度展开方法可得均匀化方程．这个方程满足类似的增长条件．
- 非线性椭圆方程 /
- 不动点 /
- 混合边值 /
- 增长条件 /
- 极大正则性 /
- 均匀化方程
Abstract: The global boundness and existence were presented for the kind of Rosseland equation with a general growth condition.A linearized map in a closed convex set was defined. The image set was precompact and this map was continuous, so there existed a fixed point. The Multiple-scale expansion method was used to obtain the homogenized equation.This equation satisfied a similar growth condition.
- nonlinear elliptic equation /
- fixed point /
- mixed boundary conditions /
- growth conditions /
- maximal regularity /
- homogenized equation

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参考文献(16)

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