Sharp trace regularity for an anisotropic elasticity system

Igor Kukavica; Anna L. Mazzucato; Amjad Tuffaha

doi:10.1090/S0002-9939-2013-12181-7

Sharp trace regularity for an anisotropic elasticity system

Igor Kukavica
, Anna L. Mazzucato
, Amjad Tuffaha

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English (US)
Pages (from-to)	2673-2682
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9939-2013-12181-7
State	Published - Aug 2013

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-2013-12181-7

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title = "Sharp trace regularity for an anisotropic elasticity system",

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.",

author = "Igor Kukavica and Mazzucato, \{Anna L.\} and Amjad Tuffaha",

year = "2013",

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T1 - Sharp trace regularity for an anisotropic elasticity system

AU - Kukavica, Igor

AU - Mazzucato, Anna L.

AU - Tuffaha, Amjad

PY - 2013/8

Y1 - 2013/8

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84878199385

UR - https://www.scopus.com/pages/publications/84878199385#tab=citedBy

U2 - 10.1090/S0002-9939-2013-12181-7

DO - 10.1090/S0002-9939-2013-12181-7

M3 - Article

AN - SCOPUS:84878199385

SN - 0002-9939

VL - 141

SP - 2673

EP - 2682

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 8

ER -

Sharp trace regularity for an anisotropic elasticity system

Abstract

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