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.References
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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