Asymptotic analysis of stretching modes for a folded plate

Autor: Nabil Kerdid

Publikováno v: AIMS Mathematics, Vol 8, Iss 10, Pp 23974-23988 (2023)

In this paper, we show that the spectral problem associated to stretching modes in a thin folded plate can be derived from the three-dimensional eigenvalue problem of linear elasticity through a rigourous convergence analysis as the thickness of the

Externí odkaz: https://doaj.org/article/f265838a4c0447c0922a3cbc2f7397bc

On the linearized system of elasticity in the half-space

Autor: Nabil Kerdid

Publikováno v: AIMS Mathematics, Vol 7, Iss 8, Pp 14991-15001 (2022)

The purpose of this paper is twofold. The first goal is to provide a simple and constructive proof of Korn inequalities in half-space with weighted norms. The proof leads to explicit values of the constants. The second objective is to use these inequ

Externí odkaz: https://doaj.org/article/4c11e769e77a4c9f8c5eea31f3706000

A mixed formulation of the Stokes equations with slip conditions in exterior domains and in the half-space

Autor: Nabil Kerdid

Publikováno v: Hiroshima Math. J. 48, no. 2 (2018), 119-131

We are concerned with Stokes equations in the half-space or in an exterior domain of $\mathbb{R}^n$ when slip conditions are imposed on the boundary. We present a mixed velocity-pressure formulation and we show its well posedness. A weighted variant

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d77325d17dcbc75fa8281766589656b0
https://doi.org/10.32917/hmj/1533088823

The spectrum of a weighted Laplacian in the half-space

Autor: Nabil Kerdid, Tahar Zamène Boulmezaoud

Publikováno v: Mathematical Methods in the Applied Sciences
Mathematical Methods in the Applied Sciences, Wiley, 2016, 39 (2), pp.280-288. ⟨10.1002/mma.3476⟩

J. Banasiak In this paper, we deal with spectral properties of a weighted Laplacian in the half-space when a Dirichlet or a Neumann boundary condition is imposed. After proving that the spectrum is discrete under suitable assumptions, we give explici

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4760e201a18f09c78ae3ff4f6ffe99ae
https://hal.uvsq.fr/hal-02166369

Approximation numérique d'un problème de membrane non linéaire

Autor: Nabil Kerdid, Hervé Le Dret, Abdelkader Saïdi

Publikováno v: Comptes rendus de l'Académie des sciences. Série I, Mathématique
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2005, 340, pp.69-74
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2005, 340, pp.69-74

Resume On etudie numeriquement les deformations d'une membrane elastique non lineaire. On considere le modele de membrane obtenu par Le Dret et Raoult par la methode de Γ -convergence. Les deformations de la membrane minimisent une energie non quadr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96d81492e7065af6b64e57740cc24c46
https://doi.org/10.1016/j.crma.2004.11.016