Publicaciones

• Article dans une revue

Existence and multiplicity for elliptic p-Laplacian problems with critical growth in the gradient

Colette De Coster, Antonio J. Fernández Sánchez

We consider the boundary value problem (Pλ) −∆pu = λc(x)|u| p−2u + µ(x)|∇u| p + h(x) , u ∈ W1,p 0 (Ω) ∩ L∞(Ω) , where Ω ⊂ RN , N ≥ 2, is a bounded domain with smooth boundary. We assume c, h ∈ Lq (Ω) for some q > max{N/p, 1} with c 0 and µ ∈ L∞(Ω). We prove existence and uniqueness results in...

Calculus of Variations and Partial Differential Equations, 2018, 57 (3), 42 p. ⟨10.1007/s00526-018-1346-6⟩. ⟨hal-03137670⟩

• Article dans une revue

Regularity and a priori error analysis on anisotropic meshes of a Dirichlet problem in polyhedral domains

Hengguang Li, Serge Nicaise

Consider the Poisson equation on a polyhedral domain with the given data in a weighted L 2 space. We establish new regularity results for the solution with possible vertex and edge singularities and propose anisotropic finite element algorithms approximating the singular solution in the optimal...

Numerische Mathematik, 2018, 139 (1), pp.47-92. ⟨10.1007/s00211-017-0936-0⟩. ⟨hal-01956612⟩

• Article dans une revue

Indirect stability of the wave equation with a dynamic boundary control

Denis Mercier, Serge Nicaise, Mohamad Ali Sammoury, Ali Wehbe

In this paper, we consider a damped wave equation with a dynamic boundary control. First, combining a general criteria of Arendt and Batty with Holmgren's theorem we show the strong stability of our system. Next, we show that our system is not uniformly stable in general, since it is the case...

Mathematical News / Mathematische Nachrichten, 2018, 291 (7), pp.1114-1146. ⟨10.1002/mana.201700021⟩. ⟨hal-01956619⟩

• Article dans une revue

Density and trace results in generalized fractal networks

Serge Nicaise, Adrien Semin

The first aim of this paper is to give different necessary and sufficient conditions that guarantee the density of the set of compactly supported functions into the Sobolev space of order one in infinite p-adic weighted trees. The second goal is to define properly a trace operator in this Sobolev...

ESAIM: Mathematical Modelling and Numerical Analysis, 2018, 52 (3), pp.1023-1049. ⟨10.1051/m2an/2018021⟩. ⟨hal-01956605⟩

• Article dans une revue

High-frequency behaviour of corner singularities in Helmholtz problems

Théophile Chaumont-Frelet, Serge Nicaise

We analyze the singular behaviour of the Helmholtz equation set in a non-convex polygon. Classically, the solution of the problem is split into a regular part and one singular function for each re-entrant corner. The originality of our work is that the " amplitude " of the singular parts...

ESAIM: Mathematical Modelling and Numerical Analysis, 2018, ⟨10.1051/m2an/2018031⟩. ⟨hal-01706415⟩

• Communication dans un congrès

Développement de capteurs acoustiques pour le suivi du séchage des bétons

Saliou Ndao, Marc Duquennoy, Christian Courtois, Mohammadi Ouaftouh, Mohamed Rguiti, Frédéric Rivart, Christine Pelegris, Maurice Gonon, Gregory Martic, Frédéric Jenot, Stephanie Humblet-Baron

Actes du 14ème Congrès Français d'Acoustique, CFA 2018, Apr 2018, Le Havre, France. ⟨hal-03590697⟩

• Article dans une revue

Multidimensional Disorder in Zeolite IM-18 Revealed by Combining Transmission Electron Microscopy and X-ray Powder Diffraction Analyses

Magdalena Cichocka, Yannick Lorgouilloux, Stef Smeets, Jie Su, Wei Wan, Philippe Caullet, Nicolas Bats, Lynne Mccusker, Jean-Louis Paillaud, Xiaodong Zou

A new medium-pore germanosilicate, denoted IM-18, with a three-dimensional 8 × 8 × 10-ring channel system, has been prepared hydrothermally using 4-dimethylaminopyridine as an organic structure-directing agent (OSDA). Due to the presence of stacking disorder, the structure elucidation of IM-18 was...

Crystal Growth & Design, 2018, 18 (4), pp.2441-2451. ⟨10.1021/acs.cgd.8b00078⟩. ⟨hal-01989392⟩

• Article dans une revue

Singularities of the quad curl problem

Serge Nicaise

We consider the quad curl problem in smooth and non smooth domains of the space. We first give an augmented variational formulation equivalent to the one from [29] if the datum is divergence free. We describe the singularities of the variational space that correspond to the ones of the Maxwell...

Journal of Differential Equations, 2018, 264 (8), pp.5025-5069. ⟨10.1016/j.jde.2017.12.032⟩. ⟨hal-01324641v2⟩

• Article dans une revue

Optimization of SAW-type Surface Wave Ultrasonic Sensors for Ultrasonic SHM

Rafatou Takpara, Marc Duquennoy, Mohammadi Ouaftouh, Christian Courtois, Frédéric Jenot, Mohamed Rguiti

Surface acoustic waves (SAW) are particularly suited for effectively monitoring and characterizing a structure’s surfaces (condition of the surface, coating, thin layer, micro-cracks, etc.), and in some cases it is necessary to permanently keep the sensors on the structures to enable continuous...

Research in Nondestructive Evaluation, 2018, 29 (2), pp.61-77. ⟨10.1080/09349847.2016.1252870⟩. ⟨hal-03117425⟩

• Article dans une revue

Lagrangian submanifolds with constant angle functions of the nearly Kähler S3 × S3

Burcu Bektaş, Marilena Moruz, Joeri van Der Veken, Luc Vrancken

We study Lagrangian submanifolds of the nearly Kähler S3 × S3 with respect to their so called angle functions. We show that if all angle functions are constant, then the submanifold is either totally geodesic or has constant sectional curvature and there is a classification theorem that follows...

Journal of Geometry and Physics, 2018, 127, pp.1-13. ⟨10.1016/j.geomphys.2018.01.011⟩. ⟨hal-03233861⟩