Articles

Existence theory for Rosseland equation and its homogenized equation

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  • State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China

Received date: 2011-12-01

  Revised date: 2012-06-15

  Online published: 2012-12-10

Supported by

Supported by the National Basic Research Program of China (973 Program) (No. 2012CB025904) and the National Natural Science Foundation of China (No. 90916027)

Abstract

The global boundness and existence are presented for the kind of the Rosseland equation with a general growth condition. A linearized map in a closed convex set is defined. The image set is precompact, and thus a fixed point exists. A multi-scale expansion method is used to obtain the homogenized equation. This equation satisfies a similar growth condition.

Cite this article

Qiao-fu ZHANG;Jun-zhi CUI . Existence theory for Rosseland equation and its homogenized equation[J]. Applied Mathematics and Mechanics, 2012 , 33(12) : 1595 -1612 . DOI: 10.1007/s10483-012-1646-6

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