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Affichage de 61 à 70 sur 1072

Pré-publication, Document de travail

Null controllability of a highly coupled fourth-order parabolic system with one internal control

Nicolás Carreño, Eduardo Cerpa, Emmanuelle Crépeau, Claudia Moreno

<div><p>Controlling systems of partial differential equations with fewer controls than states has been a central topic in the last decades. The nature of the equations and existing couplings are key factors to consider. Even if we can find several works for parabolic systems, there are…

2025. ⟨hal-04934479⟩

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

Faber-Krahn inequality for the heat content on quantum graphs via random walk expansion

Patrizio Bifulco, Matthias Täufer

We study the heat content on quantum graphs and investigate whether an analogon of the Rayleigh-Faber-Krahn inequality holds. This means that heat content at time $T$ among graphs of equal volume would be maximized by intervals (the graph analogon of balls as in the classic Rayleigh-Faber-Krahn…

Electronic Journal of Probability, 2025, 30 (none), ⟨10.48550/arXiv.2501.09693⟩. ⟨hal-05138408⟩

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⟩

Pré-publication, Document de travail

Anderson localization in high-contrast media with random spherical inclusions

Matteo Capoferri, Matthias Täufer

We study spectral properties of partial differential operators modelling composite materials with highly contrasting constituents, comprised of soft spherical inclusions with random radii dispersed in a stiff matrix. Such operators have recently attracted significant interest from the research…

2026. ⟨hal-05663978⟩

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

MAGNETIC BERNSTEIN INEQUALITIES AND SPECTRAL INEQUALITY ON THICK SETS FOR THE LANDAU OPERATOR

Paul Pfeiffer, Matthias Täufer

<div><p>We prove a spectral inequality for the Landau operator. This means that for all f in the spectral subspace corresponding to energies up to E, the L 2 -integral over suitable S ⊂ R 2 can be lower bounded by an explicit constant times the L 2 -norm of f itself. We identify the…

SIAM Journal on Control and Optimization, 2025, 63 (4), pp.2659-2685. ⟨10.1137/24M1681744⟩. ⟨hal-05033935⟩