Two-scale convergence

  title={Two-scale convergence},
  author={Dag Lukkassen and Gabriel Nguetseng and Peter Wall},
This paper is devoted to the properties and applications of two-scale convergence introduced by Nguetseng in 1989. In a self-contained way, we present the details of the basic ideas in this theory. Moreover, we give an overview of the main homogenization problems which have been studied by this technique. We also bridge gaps in previous presentations, make generalizations and give alternative proofs. AMS Subject Classi…cation (2000): 35B27, 35B40 
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An adaptation of the multi-scale methods for the analysis of very thin reticulated structures

J. Casado-Díaz, M. Luna-Laynez, J. D. Martín
C. R. Acad. Sci. Paris Sér. I Math. 332:3 • 2001
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The asymptotic behaviour of quasi-Newtonian ‡ow through a very thin or a very long curved pipe

S. Marusic
Asymptot. Anal., 26:1 • 2001