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Correctors and field fluctuations for the pϵ(x)-Laplacian with rough exponents : The sublinear growth case
Published online by Cambridge University Press: 11 January 2013
Abstract
A corrector theory for the strong approximation of gradient fields inside periodic composites made from two materials with different power law behavior is provided. Each material component has a distinctly different exponent appearing in the constitutive law relating gradient to flux. The correctors are used to develop bounds on the local singularity strength for gradient fields inside micro-structured media. The bounds are multi-scale in nature and can be used to measure the amplification of applied macroscopic fields by the microstructure. The results in this paper are developed for materials having power law exponents strictly between −1 and zero.
Keywords
- Type
- Research Article
- Information
- ESAIM: Mathematical Modelling and Numerical Analysis , Volume 47 , Issue 2 , March 2013 , pp. 349 - 375
- Copyright
- © EDP Sciences, SMAI, 2013
References
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