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Sharp trace regularity for an anisotropic elasticity system


Authors: Igor Kukavica, Anna L. Mazzucato and Amjad Tuffaha
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
Published electronically: April 26, 2013
MathSciNet review: 3056557
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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
Email: kukavica@usc.edu

Anna L. Mazzucato
Affiliation: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
Email: alm24@psu.edu

Amjad Tuffaha
Affiliation: Department of Mathematics, The Petroleum Institute, Abu Dhabi, United Arab Emirates
Email: atuffaha@pi.ac.ae

DOI: https://doi.org/10.1090/S0002-9939-2013-12181-7
Keywords: Anisotropic elasticity, Legendre-Hadamard condition, hidden regularity, Lipschitz domain, fluid-structure interaction
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
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.