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A Variational Characterization of the Effective Yield Set for Ionic Polycrystals

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Abstract

The effective yield set of ionic polycrystals is characterized by means of variational principles in \(L^\infty \) associated to supremal functionals acting on matrix-valued divergence-free fields.

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Acknowledgments

The research of F. Abdullayev was partially funded by the National Science Foundation under Grant No. DMS-1156393. The research of M. Bocea was partially funded by the National Science Foundation under Grants No. DMS-0806789 and DMS-1156393. M. Mihăilescu has been partially supported by the CNCS-UEFISCDI Grant No. PN-II-ID-PCE-2011-3-0075 “Analysis, Control and Numerical Approximations of Partial Differential Equations”.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Road, Worcester, MA , 01609, USA

    Farhod Abdullayev

  2. Department of Mathematics and Statistics, Loyola University Chicago, 1032 W. Sheridan Road, Chicago, IL , 60660, USA

    Marian Bocea

  3. Department of Mathematics, University of Craiova, 200585 , Craiova, Romania

    Mihai Mihăilescu

  4. Research Group of the Project PN-II-ID-PCE-2011-3-0075, “Simion Stoilow” Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700 , Bucharest, Romania

    Mihai Mihăilescu

Authors
  1. Farhod Abdullayev
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  2. Marian Bocea
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  3. Mihai Mihăilescu
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Correspondence to Marian Bocea.

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Abdullayev, F., Bocea, M. & Mihăilescu, M. A Variational Characterization of the Effective Yield Set for Ionic Polycrystals. Appl Math Optim 69, 487–503 (2014). https://doi.org/10.1007/s00245-013-9232-2

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