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⟩

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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⟩

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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⟩

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Noncommutative geometry and dynamical models on U(u(2)) background

Dimitri Gurevich, Pavel Saponov

In our previous publications we have introduced a differential calculus on the algebra U(gl(m)) based on a new form of the Leibniz rule which differs from that usually employed in Noncommutative Geometry. This differential calculus includes partial derivatives in generators of the algebra U(gl(m))…

Journal of Generalized Lie Theory and Applications, 2015, 09 (01), ⟨10.4172/1736-4337.1000215⟩. ⟨hal-03164898⟩

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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: Δ^2 u + κ 2 u = −λΔu 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 simple…

Positivity, 2015, 19 (4), pp.843-875. ⟨10.1007/s11117-015-0331-y⟩. ⟨hal-01956617⟩

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The Multidimensional Wave Equation with Generalized Acoustic Boundary Conditions II: Polynomial Stability

Z. Abbas, Serge Nicaise

We study the wave equation on a domain of ℝd, d ≥ 2, with dynamical boundary control applied on a part of the boundary and a Dirichlet boundary condition on the remaining part. We prove the polynomial stability of our model by two different methods: the resolvent and multiplier methods. Some…

SIAM Journal on Control and Optimization, 2015, 53 (4), pp.2582-2607. ⟨10.1137/140971348⟩. ⟨hal-03134838⟩

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Investigation of the internal structure of flax fibre cell walls by transmission electron microscopy

Anthony Thuault, Bernadette Domengès, Isabelle Hervas, Moussa Gomina

The development of the use of flax fibre as reinforcement of eco-friendly composite materials requires a good knowledge of its hydrothermal and mechanical behaviours. To this end the fibre internal structure must be finely investigated. Transmission electron microscopy was used to analyse the…

Cellulose, 2015, 22 (6), pp.3521-3530. ⟨10.1007/s10570-015-0744-6⟩. ⟨hal-02184130⟩