Existence theory for Rosseland equation and its homogenized equation
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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.
Key wordsnonlinear elliptic equation fixed point mixed boundary condition growth condition maximal regularity homogenized equation
Chinese Library ClassificationO175.29
2010 Mathematics Subject Classification35J66 35B27
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- Zhang, Q. F. and Cui, J. Z. Multi-scale analysis method for combined conduction-radiation heat transfer of periodic composites. Advances in Heterogeneous Material Mechanics, DEStech Publications, Lancaster, 461–464 (2011)Google Scholar
- Modest, M. F. Radiative Heat Transfer, 2nd ed., McGraw-Hill, San Diego, 450–453 (2003)Google Scholar