Version 1
: Received: 5 September 2024 / Approved: 5 September 2024 / Online: 5 September 2024 (12:43:44 CEST)
Version 2
: Received: 6 September 2024 / Approved: 9 September 2024 / Online: 9 September 2024 (12:01:56 CEST)
Version 3
: Received: 12 September 2024 / Approved: 12 September 2024 / Online: 12 September 2024 (09:20:27 CEST)
Version 4
: Received: 16 September 2024 / Approved: 17 September 2024 / Online: 17 September 2024 (10:46:54 CEST)
How to cite:
Botelho, F. On Duality Principles and Concerned Convex Dual Formulations Applied to a Non-Linear Plate Theory and Related Models. Preprints2024, 2024090460. https://doi.org/10.20944/preprints202409.0460.v4
Botelho, F. On Duality Principles and Concerned Convex Dual Formulations Applied to a Non-Linear Plate Theory and Related Models. Preprints 2024, 2024090460. https://doi.org/10.20944/preprints202409.0460.v4
Botelho, F. On Duality Principles and Concerned Convex Dual Formulations Applied to a Non-Linear Plate Theory and Related Models. Preprints2024, 2024090460. https://doi.org/10.20944/preprints202409.0460.v4
APA Style
Botelho, F. (2024). On Duality Principles and Concerned Convex Dual Formulations Applied to a Non-Linear Plate Theory and Related Models. Preprints. https://doi.org/10.20944/preprints202409.0460.v4
Chicago/Turabian Style
Botelho, F. 2024 "On Duality Principles and Concerned Convex Dual Formulations Applied to a Non-Linear Plate Theory and Related Models" Preprints. https://doi.org/10.20944/preprints202409.0460.v4
Abstract
This article develops duality principles applicable to originally non-convex primal variational formulations. More specifically, as a first application, we establish a convex dual approximate variational formulation for a non-linear Kirchhoff-Love plate model. The results are obtained through basic tools of functional analysis, calculus of variations, duality and optimization theory in infinite dimensional spaces. We emphasize such a convex dual approximate formulation obtained may be applied to a large class of similar models in the calculus of variations. Finally, in the last section, we present a duality principle and respective convex dual formulation for a Ginzburg-Landau type equation.
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.