Publications

• Pré-publication, Document de travail

On the cohomological equation of a hyperbolic automorphism

Abdellatif Zeggar

In this paper, we study the discrete cohomological equation (e) : f − f • γ = g associated with a hyperbolic affine automorphism γ : T^d −→ T^d of the torus T d = R^d /Z^d. g being a given C^∞ function and f an unknown function. More precisely, if we denote by E the Fréchet space of all C^∞…

2023. ⟨hal-04319976⟩

• Article dans une revue

On G1 and G2 Hermite interpolation by spatial Algebraic-Trigonometric Pythagorean Hodograph curves with polynomial parametric speed, Interpolation de Hermite G1 et G2 par des courbes spatiales Algébrique-Trigonométrique à Hodographe Pythagorien

Thierry Bay, Isabelle Cattiaux-Huillard, Lucia Romani, Laura Saini

In this paper we focus on the class of Algebraic-Trigonometric Pythagorean Hodograph curves (ATPH for short) that is characterized by a purely polynomial parametric speed. Within such a class of ATPH curves, we first construct interpolants to spatial G1 Hermite data equipped with curvature values.…, Dans cet article, nous nous concentrons sur la classe des courbes Algébrique-Trigonométrique à Hodographe Pythagorien (ATPH) qui est caractérisée par une vitesse paramétrique purement polynomiale. À partir de ces courbes ATPH, nous construisons tout d'abord des interpolants pour résoudre le…

Applied Mathematics and Computation, 2023, 458, ⟨10.1016/j.amc.2023.128240⟩. ⟨hal-04125840⟩

• Pré-publication, Document de travail

Stability analysis of quasilinear systems on time scale based on a new estimation of the upper bound of the time scale matrix exponential function

Serhii Babenko, Michael Defoort, Mohamed Djemai, Serge Nicaise, Valerii Hrytsenkoa

In this paper, we analyze the stability of quasilinear systems on time scale based on a new estimation of the upper bound of the time scale matrix exponential function. First, some upper bounds for the norm of the matrix exponential function eA(t, t0) are derived, where A is a regressive square…

2023. ⟨hal-04316226⟩

• Pré-publication, Document de travail

Optimal control of the temperature by the laser path and the thermal treatment time in selective laser melting process

Hiba Hmede, Serge Nicaise, Luc Paquet, Ali Wehbe

Additive manufacturing by laser fusion on metal oxides powder bed such as e.g. alumina (Al2O3) or aluminium titanate (Al2T iO5) has developed considerably in the last few years and allows today the production of a wide range of complex objects. The mathematical problem considered is to control the…

2023. ⟨hal-04316237⟩

• Pré-publication, Document de travail

ENERGY DECAY RATE OF A TRANSMISSION SYSTEM GOVERNED BY DEGENERATE WAVE EQUATION WITH DRIFT AND UNDER HEAT CONDUCTION WITH MEMORY EFFECT

Mohammad Akil, Genni Fragnelli, Ibtissam Issa

In this paper, we investigate the stabilization of transmission problem of degenerate wave equation and heat equation under Coleman-Gurtin heat conduction law or Gurtin-Pipkin law with memory effect. We investigate the polynomial stability of this system when employing the Coleman-Gurtin heat…

2024. ⟨hal-04413609⟩

• HDR

Biomatériaux céramiques et lutte contre les infections nosocomiales en chirurgie ostéo-articulaire, Ceramic biomaterials and fight against nosocomial in joint and bone surgery

Franck Bouchart

Depuis plusieurs décennies, les céramiques à base de phosphate de calcium (hydroxyapatite et phosphate tricalcique β) ont été utilisées comme substitut afin de remplacer les défauts osseux en chirurgie ostéo-articulaire du fait de leur composition minérale similaire à celle de l'os et de leur…, For several decades, the calcium phosphate based ceramics (hydroxyapatite and β-tri-calcium phosphate) are used as substitutes for replacing bone defects in bone and joint surgery because their mineral composition is similar to bone and exhibit a very good bio-activity. Currently, two problems…

Biomatériaux. Université Polytechnique Hauts-de-France, 2023. ⟨tel-04291352v2⟩

• Pré-publication, Document de travail

Stability for Degenerate Wave Equations with Drift Under Simultaneous Degenerate Damping

Mohammad Akil, Genni Fragnelli, Ibtissam Issa

In this paper we study the stability of two different problems. The first one is a one-dimensional degenerate wave equation with degenerate damping, incorporating a drift term and a leading operator in non- divergence form. In the second problem we consider a system that couples degenerate and non-…

2024. ⟨hal-04413606⟩

• Pré-publication, Document de travail

Metric subregularity and ω(•)-normal regularity properties

Florent Nacry, Vo Anh Thuong Nguyen, Juliette Venel

In this paper, we establish through an openness condition the metric subregularity of a multimapping with normal ω(•)-regularity of either the graph or values. Various preservation results for prox-regular and subsmooth sets are also provided.

2023. ⟨hal-04418792⟩

• Article dans une revue

Emergence of the Dickeya genus involved duplication of the OmpF porin and the adaptation of the EnvZ-OmpR signaling network

Clémence Cochard, Marine Caby, Peggy Gruau, Edwige Madec, Michael Marceau, Iulia Macavei, Jérôme Lemoine, Chrystelle Le Danvic, Franck Bouchart, Brigitte Delrue, Sébastien Bontemps-Gallo, Jean-Marie Lacroix

Genome evolution, and more specifically gene duplication, is a key process shaping host–microorganism interaction. The conserved paralogs usually provide an advantage to the bacterium to thrive. If not, these genes become pseudogenes and disappear. Here, we show that during the emergence of the…

Microbiology Spectrum, 2023, 11 (5), ⟨10.1128/spectrum.00833-23⟩. ⟨hal-04209612⟩

• Communication dans un congrès

Synthesis and evaluation biologic of bioglasses doped with Ag and Cu and no-doped by sol-gel and by melting

Cyrille Mercier, Halima El Bouami, Ahmed Bachar, Assia Mabrouck, Claudine Follet, Edwige Meurice

Bioceramics 33, Oct 2023, Solothurn, Switzerland. ⟨hal-04318776⟩