Publications

• Pré-publication, Document de travail

Stability of discontinuous diffusion coefficients for the heat equation on a star-shaped tree

Emmanuelle Crépeau, Lionel Rosier, Julie Valein

In this paper, we study the heat equation on a star-shaped tree network with a piecewise regular diffusion coefficient. By developing new Carleman estimates, we establish stability results for the identification of the diffusion coefficient. These stability estimates are derived using either…

2025. ⟨hal-04931176⟩

• Communication dans un congrès

Limit theorems: some recent results

Laetitia Colombani, Olivier Durieu, Davide Giraudo, Vytauté Pilipauskaité, Lucas Reding

The article presents a series of recent results in the field of limit theorems which allow to appreciate the richness of this theme. These results include: the study of the asymptotic behaviour of cumulative processes with applications to Hawkes processes; maximal inequalities and functional…, Cet article présente une série de résultats récents sur le thème des théorèmes limites qui permettent d’apprécier la richesse de la thématique. Les résultats présentés regroupent : l’étude du comportement asymptotique des processus cumulatifs avec des applications aux processus de Hawkes; des…

Journées MAS 2022, Pierre Calka; Clément Marteau, Aug 2022, Rouen, France. pp.26-50, ⟨10.1051/proc/202580026⟩. ⟨hal-05005587⟩

• Pré-publication, Document de travail

Degenerate/singular beam-type equations: a controllability result

Akil Mohammad, Fragnelli Genni, Sbai Amine

The paper deals with the controllability of a degenerate/singular beam-type equation in divergence or in non-divergence form. In particular, we assume that the degeneracy and the singularity are at the same boundary point and we consider a suitable control $f$ localized on the non degenerate…

2025. ⟨hal-04901715⟩

• Article dans une revue

How Null Vector Performs in a Rational Bézier Curve with Mass Points

Lionel Garnier, Jean-Paul Bécar, Laurent Fuchs

This article points out the kinematics in tracing a Bézier curve defined by control mass points. A mass point is a point with a non-positive weight, a non-negative weight or a vector with a null weight. For any Bézier curve, the speeds at endpoints can be modified at the same time for both…

geometry, 2025, 2 (1), pp.1-35. ⟨10.3390/geometry2010001⟩. ⟨hal-04901396⟩

• Article dans une revue

Thick trace at infinity for the Hyperbolic Radial Spanning Tree

David Coupier, Lucas Flammant, Viet Chi Tran

Since the works of Howard & Newman (2001), it is known that in straight radial rooted trees, with probability 1, infinite paths all have an asymptotic direction and each asymptotic direction is reached by (at least) an infinite path. Moreover, there exists a set of 'exceptionnal'…

Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2025. ⟨hal-03928226⟩

• Article dans une revue

Goal-oriented error estimation based on equilibrated flux reconstruction for the approximation of the harmonic formulations in eddy current problems

Emmanuel Creusé, Serge Nicaise, Zuqi Tang

In this work, we propose an a posteriori goal-oriented error estimator for the harmonic A/Phi formulation arising in the modeling of eddy current problems, approximated by nonconforming finite element methods. It is based on the resolution of an adjoint problem associated with the initial one. For…

IMA Journal of Numerical Analysis, In press, ⟨10.1093/imanum/drad107⟩. ⟨hal-03954215v2⟩

• Article dans une revue

Improving mechanical stability of SBA-15 monoliths prepared from polymeric scaffolds replication using bentonite clay

Ridvan Yildiz, Jérémy Dhainaut, Carmen Ciotonea, Jean-Philippe Dacquin, Sébastien Royer, Christian Courtois, Yannick Lorgouilloux

The preparation of porous yet mechanically stable centimetric monoliths remains challenging using traditional methods. Herein, hierarchical SBA-15-based porous monoliths, with three levels of porosity (micro- and mesopores from the pores arrangement of the silica structure, and macropores from the…

Journal of Porous Materials, 2025, ⟨10.1007/s10934-025-01791-0⟩. ⟨hal-05008616⟩

• Article dans une revue

Covariance parameter estimation of Gaussian processes with approximated functional inputs

Lucas Reding, Andrés F. López-Lopera, François Bachoc

Journal of Multivariate Analysis, 2025, 205, pp.105380. ⟨10.1016/j.jmva.2024.105380⟩. ⟨hal-04844122⟩

• Article dans une revue

Method for Connection of Two G2 Data Sets by the Use of a Quintic Rational Bézier Curve Defined with Mass Control Points

Lionel Garnier, Jean-Paul Bécar, Laurent Fuchs

<div><p>The paper deals with the G 2 continuity or planar curves. The G 2 continuity is considered as a superior quality o curvature, which is oten sought ater in high-precision designs and industrial applications. It ensures a perectly smooth transition between dierent parts o a…

WSEAS Transactions on Mathematics, 2024, 23, pp.948 - 961. ⟨10.37394/23206.2024.23.98⟩. ⟨hal-04917172⟩

• Pré-publication, Document de travail

SPECTRUM ANALYSIS OF THE UNDERLYING OPERATOR FOR A 2D PIEZOELECTRIC BEAM WITH MAGNETIC EFFECT ON AN ANNULAR DOMAIN, SECOND VERSION

Virginie Régnier, Mohammad Akil

The aim is to determine the eigenvalues of locally coupled equations modelling a 2D piezoelectric beam with magnetic effect with only one local viscous damping on an annular domain without geometric conditions. The eigenvalues are proved to lie in a vertical band defined explicitly in terms of the…

2024. ⟨hal-04842101⟩