Upper Bounds for Korn’s Constants in General Domains
Commun. Math. Anal. Appl., 4 (2025), pp. 48-86.
Published online: 2025-02
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@Article{CMAA-4-48,
author = {Mardare , Cristinel and Nguyen , Thai Ha},
title = {Upper Bounds for Korn’s Constants in General Domains},
journal = {Communications in Mathematical Analysis and Applications},
year = {2025},
volume = {4},
number = {1},
pages = {48--86},
abstract = {
We estimate the constants appearing in Korn inequalities in terms of the norm of a linear and continuous inverse to the divergence operator defined on a same domain, and of a few scalar parameters modeling the shape of the domain.
}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2024-0006}, url = {http://global-sci.org/intro/article_detail/cmaa/23791.html} }
TY - JOUR
T1 - Upper Bounds for Korn’s Constants in General Domains
AU - Mardare , Cristinel
AU - Nguyen , Thai Ha
JO - Communications in Mathematical Analysis and Applications
VL - 1
SP - 48
EP - 86
PY - 2025
DA - 2025/02
SN - 4
DO - http://doi.org/10.4208/cmaa.2024-0006
UR - https://global-sci.org/intro/article_detail/cmaa/23791.html
KW - Korn inequalities, shells, asymptotic analysis.
AB -
We estimate the constants appearing in Korn inequalities in terms of the norm of a linear and continuous inverse to the divergence operator defined on a same domain, and of a few scalar parameters modeling the shape of the domain.
Mardare , Cristinel and Nguyen , Thai Ha. (2025). Upper Bounds for Korn’s Constants in General Domains.
Communications in Mathematical Analysis and Applications. 4 (1).
48-86.
doi:10.4208/cmaa.2024-0006
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