An Existence Result for a Mathematical Model of Koiter's Type
Commun. Math. Anal. Appl., 4 (2025), pp. 17-47.
Published online: 2025-02
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@Article{CMAA-4-17,
author = {Giang , Trung Hieu},
title = {An Existence Result for a Mathematical Model of Koiter's Type},
journal = {Communications in Mathematical Analysis and Applications},
year = {2025},
volume = {4},
number = {1},
pages = {17--47},
abstract = {
In this paper we first introduce a new shell model that can be applied for all kinds of geometries of the middle surface of the shell. Then we show that our model is close to Koiter's nonlinear shell model in a specific sense. Finally, we establish the existence of a minimizer for this new model.
}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2024-0005}, url = {http://global-sci.org/intro/article_detail/cmaa/23790.html} }
TY - JOUR
T1 - An Existence Result for a Mathematical Model of Koiter's Type
AU - Giang , Trung Hieu
JO - Communications in Mathematical Analysis and Applications
VL - 1
SP - 17
EP - 47
PY - 2025
DA - 2025/02
SN - 4
DO - http://doi.org/10.4208/cmaa.2024-0005
UR - https://global-sci.org/intro/article_detail/cmaa/23790.html
KW - Nonlinear elasticity, Koiter shell model, existence theory.
AB -
In this paper we first introduce a new shell model that can be applied for all kinds of geometries of the middle surface of the shell. Then we show that our model is close to Koiter's nonlinear shell model in a specific sense. Finally, we establish the existence of a minimizer for this new model.
Giang , Trung Hieu. (2025). An Existence Result for a Mathematical Model of Koiter's Type.
Communications in Mathematical Analysis and Applications. 4 (1).
17-47.
doi:10.4208/cmaa.2024-0005
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