Publications

• Article dans une revue

Exponential and polynomial stability results for networks of elastic and thermo-elastic rods

Alaa Hayek, Serge Nicaise, Zaynab Salloum, Ali Wehbe

<p style='text-indent:20px;'>In this paper, we investigate a network of elastic and thermo-elastic materials. On each thermo-elastic edge, we consider two coupled wave equations such that one of them is damped via a coupling with a heat equation. On each elastic edge (undamped), we…

Discrete and Continuous Dynamical Systems - Series S, 2022, 15 (5), pp.1183. ⟨10.3934/dcdss.2021142⟩. ⟨hal-04304871⟩

• Article dans une revue

Deep Gaussian Process for the Approximation of a Quadratic Eigenvalue Problem: Application to Friction-Induced Vibration

Jeremy Sadet, Franck Massa, Thierry Tison, El-Ghazali Talbi, Isabelle Turpin

Despite numerous works over the past two decades, friction-induced vibrations, especially braking noises, are a major issue for transportation manufacturers as well as for the scientific community. To study these fugitive phenomena, the engineers need numerical methods to efficiently predict the…

Vibration, 2022, 5 (2), pp.344-369. ⟨10.3390/vibration5020020⟩. ⟨hal-03700618⟩

• Article dans une revue

Existence results for the $\mathbf{A}-\varphi-\mathbf{B}$ magnetodynamic formulation of the Maxwell system with skin and proximity effects

Emmanuel Creusé, Serge Nicaise, Ruth V Sabariego

The $\mathbf{A}-\varphi-\mathbf{B}$ magnetodynamic Maxwell system given in its potential and space-time formulation is a popular model considered in the engineering community. It allows to model some phenomena such as eddy current losses in multiple turn winding. Indeed, in some cases, they can…

Applicable Analysis, 2022, 101 (8), pp.3103-3121. ⟨10.1080/00036811.2020.1836351⟩. ⟨hal-03122785⟩

• Article dans une revue

Wavenumber explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers

Théophile Chaumont-Frelet, Dietmar Gallistl, Serge Nicaise, Jérôme Tomezyk

The first part of this paper is devoted to a wavenumber-explicit stability analysis of a planar Helmholtz problem with a perfectly matched layer. We prove that, for a model scattering problem, the H1 norm of the solution is bounded by the right-hand side, uniformly in the wavenumber k in the highly…

Communications in Mathematical Sciences, 2022, 20 (1), pp.1-52. ⟨10.4310/CMS.2022.v20.n1.a1⟩. ⟨hal-01887267⟩

• Article dans une revue

The coupled heat Maxwell equations with temperature-dependent permittivity

Tonia-Maria Alam, Luc Paquet

We consider the heat equation coupled with the Maxwell system, the Ampère- Maxwell equation being coupled to the heat equation by the permittivity, which depends on the temperature due to thermal agitation, and the heat equation being coupled to the Maxwell system by the volumic heat source term.…

Journal of Mathematical Analysis and Applications, 2022, 505 (1), 50 p. ⟨10.1016/j.jmaa.2021.125472⟩. ⟨hal-03722137⟩

• Article dans une revue

The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization

Mohammad Akil, Haidar Badawi

In this paper, we investigate the stabilization of a linear Bresse system with one singular local frictional damping acting in the longitudinal displacement, under fully Dirichlet boundary conditions. First, we prove the strong stability of our system. Next, using a frequency domain approach…

Evolution Equations and Control Theory, 2022, 11 (6), pp.1903-1928. ⟨10.3934/eect.2022004⟩. ⟨hal-04347040⟩

• Chapitre d'ouvrage

L'exponentielle avant l'exponentielle, autour de 1690

Francois Goichot, Jean-Pierre Lubet

Guillaume Moussard. Histoires de calcul infitésimal, Ellipses, pp.111-136, 2022, 9782340-073159. ⟨hal-04152414⟩

• Article dans une revue

Stability of piezoelectric beam with magnetic effect under (Coleman or Pipkin)-Gurtin thermal law

Mohammad Akil

In this paper, we investigate the stabilization of a system of piezoelectric beams under (Coleman or Pipkin)–Gurtin thermal law with magnetic effect. First, we study the piezoelectric Coleman–Gurtin system and we obtain an exponential stability result. Next, we consider the piezoelectric Gurtin–…

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2022, 73 (6), 24 p. ⟨10.1007/s00033-022-01867-w⟩. ⟨hal-04346746⟩

• Article dans une revue

Subdivisions of Horned or Spindle Dupin Cyclides Using Bézier Curves with Mass Points

Lionel Garnier, Lucie Druoton, Jean-Paul Becar, Laurent Fuchs, Géraldine Morin

This paper shows the same algorithm is used for subdivisions of Dupin cyclides with singular points and quadratic Bézier curves passing through infinity. The mass points are usefull for any quadratic Bézier representation of a parabola or an hyperbola arc. The mass points are mixing weighted points…

WSEAS Transactions on Mathematics, 2021, 20, pp.756-776. ⟨10.37394/23206.2021.20.80⟩. ⟨hal-03541207⟩

• Article dans une revue

Investigation of the Eigen Frequency of a Cantilever Microbeam Immersed in a Fluid Under the Piezoelectric Effect

Victory Elias, Flavie Braud, Philippe Champagne, Georges Nassar

In this paper, a new model of piezoelectric cantilever is developed, it can be heavily used in a micro electromechanical system (MEMS). This new prototype eliminates several risks caused by the previous means already used and increases the sensation in terms of rheology. Our approach is based on…

Sensors & Transducers., 2021, 254 (7), pp.31-37. ⟨hal-03564209⟩