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Article dans une revue

Continuum of solutions for an elliptic problem with critical growth in the gradient

David Arcoya, Colette De Coster, Louis Jeanjean, Kazunaga Tanaka

We consider the boundary value problem(Pλ)u∈H01(Ω)∩L∞(Ω):-δu=λc(x)u+μ(x)|∇u|2+h(x), where Ω⊂RN, N≥3 is a bounded domain with smooth boundary. It is assumed that c{greater-than but not equal to}0, c, h belong to Lp(Ω) for some p>N/2 and that μ∈L∞(Ω). We explicitly describe a condition which…

Journal of Functional Analysis, 2015, 268 (8), pp.2298 - 2335. ⟨10.1016/j.jfa.2015.01.014⟩. ⟨hal-01755994⟩

Article dans une revue

Influence of sodium borate on the early age hydratation of calcium sulfoaluminate cement

Jean-Baptiste Champenois, Mélanie Dhoury, Céline Cau Dit Coumes, Cyrille Albert-Mercier, Bertrand Revel, Patrick Le Bescop, Denis Damidot

Calcium sulfoaluminate (CSA) cements are potential candidates for the conditioning of radioactive wastes with high sodium borate concentrations. This work thus investigates early age hydration of two CSA cements with different gypsum contents (0 to 20%) as a function of the mixing solution…

Cement and Concrete Research, 2015, 70, pp.83-93. ⟨10.1016/j.cemconres.2014.12.010⟩. ⟨hal-03116356⟩

Article dans une revue

Influence of heat and ultrasonic treatments on the setting and maturation of a glass-ionomer cement

Marion Dehurtevent, Etienne Deveaux, Jean-Christophe Hornez, Lieven Robberecht, Nicolas Tabary, Feng Chai

Purpose: To compare the effect of different treatments (heat capsule, ultrasound, and dual treatments) on the setting kinetics and maturation properties of a conventional GIC (EQUIA, GC) to that of standard setting. Methods: The optimal durations of the heat and ultrasonic treatments were…

American Journal of Dentistry, 2015, American Journal of Dentistry, 28 (2), pp.105. ⟨hal-02448986⟩

Article dans une revue

Nodal properties of eigenfunctions of a generalized buckling problem on balls

Colette De Coster, Serge Nicaise, Christophe Troestler

In this paper we are interested in the following fourth order eigenvalue problem coming from the buckling of thin films on liquid substrates: ∆^2 u + κ^2 u = −λ ∆ u in B_1 , u = ∂_r u = 0 on ∂ B_1 , where B_1 is the unit ball in R^N. When κ > 0 is small, we show that the first eigenvalue is…

Positivity, 2015, 19 (4), pp.843-875. ⟨10.1007/s11117-015-0331-y⟩. ⟨hal-03721642⟩

Article dans une revue

Odontological information along cone splines

Cindy González, Marco Paluszny

Developable surfaces are a subset of ruled surfaces, which can be mapped onto a plane without deformation. Due to this property, they have considerable relevance in several applications. In the medical area, regarding information visualization along sections of organs, they could be useful in…

Springer proceedings in Mathematics and Statistics, 2015, 121, p. 219-233. ⟨10.1007/978-3-319-12583-1_15⟩. ⟨hal-03164544⟩

Article dans une revue

Effect of Nitrogen on Properties of Na 2 O-CaO-SrO-ZnO-SiO 2 Glasses

Ahmed Bachar, Cyrille Albert-Mercier, Arnaud Tricoteaux, Jean-Christophe Hornez, Anne Leriche, Claudine Follet-Houttemane, Bertrand Revel, Stuart Hampshire, Mark Towler

Glasses in the Na2O–CaO–SrO–ZnO–SiO2 system have previously been investigated for suitability as a reagent in Al-free glass polyalkenoate cements (GPCs). These materials have many properties that offer potential in orthopedics. However, their applicability has been limited, to date, because of…

Journal of the American Ceramic Society, 2015, 98 (3), pp.748-757. ⟨10.1111/jace.13361⟩. ⟨hal-03039016⟩

Article dans une revue

The heat equation under conditions on the moments in higher dimensions

Delio Mugnolo, Serge Nicaise

We consider the heat equation on the N-dimensional cube (0, 1)N and impose different classes of integral conditions, instead of usual boundary ones.Well-posedness results for the heat equation under the condition that the moments of order 0 and 1 are conserved had been known so far only in the case…

Mathematical News / Mathematische Nachrichten, 2015, 288 (2-3), pp.295-308. ⟨10.1002/mana.201300298⟩. ⟨hal-03163722⟩

Article dans une revue

Analysis of eddy current formulations in two-dimensional domains with cracks

Stéphanie Lohrengel, Serge Nicaise

In this paper, the eddy current problem in a two-dimensional conductor containing a crack is studied. The decomposition of the electric field into a piecewise regular part and a singular part deriving from scalar potentials localized at the crack tip and at the crack mouth is proved. At the crack…

ESAIM: Mathematical Modelling and Numerical Analysis, 2015, 49 (1), pp.141-170. ⟨10.1051/m2an/2014027⟩. ⟨hal-01888364⟩

Article dans une revue

Helmholtz decomposition of vector fields with mixed boundary conditions and an application to a posteriori finite element error analysis of the Maxwell system

Emmanuel Creusé, Serge Nicaise, Zuqi Tang

This paper is devoted to the derivation of a Helmholtz decomposition of vector fields in the case of mixed boundary conditions imposed on the boundary of the domain. This particular decomposition allows to obtain a residual a posteriori error estimator for the approximation of magnetostatic…

Mathematical Methods in the Applied Sciences, 2015, 38 (4), pp.738-750. ⟨10.1002/mma.3104⟩. ⟨hal-00777690⟩

Article dans une revue

Residual a posteriori estimator for magnetoharmonic potential formulations with global quantities source terms

Zuqi Tang, Yvonnick Le Menach, Emmanuel Creusé, Serge Nicaise, Francis Piriou

In the modeling of eddy current problems, potential formulations are widely used in recent days. In this paper, the results of residual-based a posteriori error estimators, which evaluate the discretization error in the finite-element computation, are extended to the case of several kinds of source…

IEEE Transactions on Magnetics, 2015, 51 (3), ⟨10.1109/TMAG.2014.2359770⟩. ⟨hal-01243666⟩