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On a Kind of Singular Perturbations for Transmission Problems

  • Conference paper
IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 113))

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Abstract

We consider a kind of variational singular perturbation problems with piecewise constant coefficients and unbounded energy. The method of matched asymptotic expansions allows us to give a rigorous proof of the asymptotic behaviour (leading order term) in two examples with elliptic and parabolic limit, respectively.

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References

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Author information

Authors and Affiliations

  1. L.M.M.-CNRS UMR 7607, Université Pierre et Marie Curie, 4 place Jussieu, 75252, Paris Cedex 05, France

    E. Sanchez-Palencia

Authors
  1. E. Sanchez-Palencia
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Editor information

Editors and Affiliations

  1. University of Liverpool, UK

    A. B. Movchan

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© 2003 Kluwer Academic Publishers

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Sanchez-Palencia, E. (2003). On a Kind of Singular Perturbations for Transmission Problems. In: Movchan, A.B. (eds) IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics. Solid Mechanics and Its Applications, vol 113. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2604-8_39

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  • DOI: https://doi.org/10.1007/1-4020-2604-8_39

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1780-3

  • Online ISBN: 978-1-4020-2604-1

  • eBook Packages: Springer Book Archive

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