Rosseland方程及其均匀化方程的存在性理论  

Existence Theory for Rosseland Equation and Its Homogenized Equation

作　　者：张乔夫[1] 崔俊芝[1] 

机构地区：[1]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

出　　处：《应用数学和力学》2012年第12期1487-1502,共16页Applied Mathematics and Mechanics

基　　金：973计划资助项目(2012CB025904);国家自然科学基金资助项目(90916027);科学与工程计算国家重点实验室的支持

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.The global boundness and existence were presented for the kind of Rosseland equa- tion 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.

关 键 词：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 

分 类 号：O175.29[理学—数学]