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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Sharp trace regularity for an anisotropic elasticity system
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by Igor Kukavica, Anna L. Mazzucato and Amjad Tuffaha PDF
Proc. Amer. Math. Soc. 141 (2013), 2673-2682 Request permission

Abstract:

We establish a sharp regularity result for the normal trace of the solution to the anisotropic linear elasticity system with Dirichlet boundary condition on a Lipschitz domain. Using this result we obtain a new existence result for a fluid-structure interaction model in the case when the structure is an anisotropic elastic body.
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Additional Information
  • Igor Kukavica
  • Affiliation: Department of Mathematics, University of Southern California, Los Angeles, California 90089
  • MR Author ID: 314775
  • Email: kukavica@usc.edu
  • Anna L. Mazzucato
  • Affiliation: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
  • MR Author ID: 706447
  • Email: alm24@psu.edu
  • Amjad Tuffaha
  • Affiliation: Department of Mathematics, The Petroleum Institute, Abu Dhabi, United Arab Emirates
  • Email: atuffaha@pi.ac.ae
  • Received by editor(s): October 21, 2011
  • Published electronically: April 26, 2013
  • Additional Notes: The first author is the corresponding author and was supported in part by the U.S. National Science Foundation grant DMS-1009769
    The second author was supported in part by the U.S. National Science Foundation grants DMS-1009713 and DMS-1009714
    The third author was supported in part by the Petroleum Institute Research Grant Ref. Number 11014
  • Communicated by: James E. Colliander
  • © Copyright 2013 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 2673-2682
  • MSC (2010): Primary 35B65, 35Q74
  • DOI: https://doi.org/10.1090/S0002-9939-2013-12181-7
  • MathSciNet review: 3056557