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On Burnett Coefficients in Periodic Media with Two Phases

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Integral Methods in Science and Engineering, Volume 1

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Abstract

In this chapter, we consider periodic media with a small period μ and we are interested in Burnett coefficients. These parameters are important in the study of acoustic wave propagation in such media since various physical constants associated with wave propagation (like reflection, refraction, transmission, and dispersion coefficients) are included in the Burnett coefficients.

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References

  1. Bensoussan, A., Lions, J.-L., Papanicolaou, G.: Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam, (1978).

    MATH  Google Scholar 

  2. Conca, C., Orive, R., Vanninathan, M.: Bloch approximation in homogenization and applications. SIAM J. Math. Anal., 33, 1166–1198 (2002).

    Article  MATH  MathSciNet  Google Scholar 

  3. Conca, C., Orive, R., Vanninathan, M.: On Burnett coefficients in periodic media. J. Math. Phys., 47, 032902, 11 pages (2006).

    Article  MathSciNet  Google Scholar 

  4. Conca, C., Planchard, J., Vanninathan, M.: Fluids and Periodic Structures, Wiley, Chichester (1995).

    MATH  Google Scholar 

  5. Conca, C., San Martín, J., Smaranda, L., Vanninathan, M.: Optimal bounds on dispersion coefficient in one-dimensional periodic media. Math. Models Methods Appl. Sci., 19 (2009), Doi: 10.1142/S0218202509003930.

    Google Scholar 

  6. Conca, C., San Martín, J., Smaranda, L., Vanninathan, M.: On Burnett coefficients in periodic media in low contrast regime. J. Math. Phys., 49, 053514, 23 pages (2008).

    Article  MathSciNet  Google Scholar 

  7. Conca, C., Vanninathan, M.: Homogenization of periodic structures via Bloch decomposition. SIAM J. Appl. Math., 57, 1639–1659 (1997).

    Article  MATH  MathSciNet  Google Scholar 

  8. Milton, G.W.: The Theory of Composites, Cambridge University Press, London (2002).

    MATH  Google Scholar 

  9. Murat, F., Tartar, L.: Calculus of variations and homogenization, in Topics in the Mathematical Modelling of Composite Materials, Birkhäuser, Boston, MA (1997), 139–173.

    Google Scholar 

  10. Torquato, S.: Random Heterogeneous Materials, Springer, New York (2002).

    MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Universidad de Chile, Santiago, Chile

    C. Conca & J. San Martín

  2. University of Piteşti, Piteşti, Romania

    L. Smaranda

  3. Tata Institute of Fundamental Research, Bangalore, India

    M. Vanninathan

Authors
  1. C. Conca
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  2. J. San Martín
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  3. L. Smaranda
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  4. M. Vanninathan
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Corresponding author

Correspondence to C. Conca .

Editor information

Editors and Affiliations

  1. Department of Mathematical , University of Tulsa, South Tucker Drive 800, Tulsa, 74104, U.S.A.

    Christian Constanda

  2. Departamento de Matematica Aplicada, Universidad Cantabria, Santander, 39005, Spain

    M.E. Pérez

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© 2010 Birkhäuser Boston, a part of Springer Science+Business Media, LLC

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Conca, C., Martín, J.S., Smaranda, L., Vanninathan, M. (2010). On Burnett Coefficients in Periodic Media with Two Phases. In: Constanda, C., Pérez, M. (eds) Integral Methods in Science and Engineering, Volume 1. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4899-2_13

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