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Article dans une revue

Optimization and pre-clinical perception of an artificial simulator for endodontic training : a preliminary study

Lieven Robberecht, Jean-Christophe Hornez, Marion Dehurtevent, Thomas Dufour, Julien Labreuche, Etienne Deveaux, Feng Chai

The aim of this study was to evaluate the performance of ceramic, hybrid ceramic, and commercial plastic bloc root canal simulator (RCS) as preclinical training aids in the learning phase of endodontic treatments. A previously developed hydroxyapatite ceramic RCS was improved by adding epoxy resin...

Journal of Dental Education, 2017, 81 (3), pp.326-332. ⟨10.1002/j.0022-0337.2017.81.3.tb06278.x⟩. ⟨hal-03120963⟩

Article dans une revue

δ ] (2, 2)-ideal centroaffine hypersurfaces of dimension 5

Handan Yildirim, Luc Vrancken

The notion of an ideal submanifold was introduced by Chen at the end of the last century. A survey of recent results in this area can be found in his book [9]. Recently, in [10], an optimal collection of Chen's inequalities was obtained for Lagrangian submanifolds in complex space forms. As...

Taiwanese Journal of Mathematics, TJM, 2017, 21 (2), pp.283-304. ⟨10.11650/tjm/7809⟩. ⟨hal-03184684⟩

Article dans une revue

On four-dimensional Einstein affine hyperspheres

Zejun Hu, Haizhong Li, Luc Vrancken

It is well-known that Vrancken–Li–Simon classified locally strongly convex affine hyperspheres in Rn+1 whose affine metric are of constant sectional curvatures, but on the other side it is still a difficult problem to classify n-dimensional locally strongly convex affine hyperspheres whose affine...

Differential Geometry and its Applications, 2017, 50, pp.20-33. ⟨10.1016/j.difgeo.2016.10.003⟩. ⟨hal-03172966⟩

Article dans une revue

Regularity and a priori error analysis of a Ventcel problem in polyhedral domains

Serge Nicaise, Hengguang Li, Anna L. Mazzucato

We consider the regularity of a mixed boundary value problem for the Laplace operator on a polyhedral domain, where Ventcel boundary conditions are imposed on one face of the polyhedron and Dirichlet boundary conditions are imposed on the complement of that face in the boundary. We establish...

Mathematical Methods in the Applied Sciences, 2017, 40 (5), ⟨10.1002/mma.4083⟩. ⟨hal-01332720v3⟩

Article dans une revue

Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map.

B. Bektas, J. van Der Veken, Luc Vrancken

We give a complete classification of Riemannian and Lorentzian surfaces of arbitrary codimension in a pseudo-sphere whose pseudo-spherical Gauss maps are of 1-type or, in particular, harmonic. In some cases a concrete global classification is obtained, while in other cases the solutions are...

Ann. Global Anal. Geom., 2017, 52, pp.45-55. ⟨10.1007/s10455-017-9548-2⟩. ⟨hal-03233877⟩

Article dans une revue

Convergence and stability analyses of hierarchic models of dissipative second order evolution equations

Serge Nicaise

We perform some hierarchical analyses of dissipative systems. For that purpose, we first propose a general abstract setting, prove a convergence result and discuss some stability properties. This abstract setting is then illustrated by significant examples of damped (acoustic) wave equations for...

Collectanea Mathematica, 2017, 68 (3), pp.433-462. ⟨10.1007/s13348-017-0192-8⟩. ⟨hal-03152027⟩

Article dans une revue

Spectral analysis of a generalized buckling problem on a ball

Colette De Coster, Serge Nicaise, Christophe Troestler

In this paper, the spectrum of the following fourth order problem (Formula Presented.)where D1 is the unit ball in RN, is determined for ν< 0 as well as the nodal properties of the corresponding eigenfunctions. In particular, we show that the first eigenvalue is simple and that the corresponding...

Positivity, 2017, 21 (4), pp.1319-1340. ⟨10.1007/s11117-017-0469-x⟩. ⟨hal-03163589⟩

Article dans une revue

Adapted Numerical Methods for the Poisson Equation with $L^2$ Boundary Data in NonConvex Domains

Thomas Apel, Serge Nicaise, Johannes Pfefferer

The very weak solution of the Poisson equation with L 2 boundary data is defined by the method of transposition. The finite element solution with regularized boundary data converges in the L 2 (Ω)-norm with order 1/2 in convex domains but has a reduced convergence order in nonconvex domains...

SIAM Journal on Numerical Analysis, 2017, 55 (4), pp.1937-1957. ⟨10.1137/16m1062077⟩. ⟨hal-01957588⟩

Article dans une revue

Dispersive effects for the Schrodinger equation on the tadpole graph

Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise

We consider the free Schrodinger group e(-itd2/dx2) on the tadpole graph R. We first show that the time decay estimates L-1(R) -> L infinity(R) is in vertical bar t vertical bar(-1/2) with a constant independent of the circumference of the circle. Our proof is based on an appropriate...

Journal of Mathematical Analysis and Applications, 2017, 448 (1), pp.262-280. ⟨10.1016/j.jmaa.2016.10.060⟩. ⟨hal-02152586⟩

Article dans une revue

Generalized Yangians and their Poisson counterparts

Dimitri Gurevich, Pavel Saponov

By generalized Yangians, we mean Yangian-like algebras of two different classes. One class comprises the previously introduced so-called braided Yangians. Braided Yangians have properties similar to those of the reflection equation algebra. Generalized Yangians of the second class, RTT-type...

Theoretical and Mathematical Physics, 2017, 192 (3), pp.1243 - 1257. ⟨10.1134/S004057791709001X⟩. ⟨hal-03172948⟩