Publications

• Article dans une revue

Dispersive effects and high frequency behaviour for the Schr¨odinger equation in star-shaped networks

Felix Ali Mehmeti, Kaïs Ammari, Serge Nicaise

We prove the time decay estimates L1(R)→L∞(R), where R is an infinite star-shaped network, for the Schrödinger group eit(−d2dx2+V) for real-valued potentials V satisfying some regularity and decay assumptions. Further we show that the solution for initial conditions with a lower cutoff frequency…

Portugaliae Mathematica, 2015, 72 (4), pp.309-355. ⟨10.4171/PM/1970⟩. ⟨hal-03138323⟩

• Article dans une revue

Approximation of the two-dimensional Dirichlet problem by continuous and discrete problems on one-dimensional networks

Maryse Bourlard-Jospin, Serge Nicaise, Juliette Venel

We show that the solution of the two-dimensional Dirichlet problem set in a plane domain is the limit of the solutions of similar problems set on a sequence of one-dimensional networks as their size goes to zero. Roughly speaking this means that a membrane can be seen as the limit of rackets made…

Confluentes Mathematici, 2015, 7 (1), pp.13-33. ⟨10.5802/cml.16⟩. ⟨hal-03135676⟩

• 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⟩

• 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

POLYNOMIAL FUNCTORS FROM ALGEBRAS OVER A SET-OPERAD AND NON-LINEAR MACKEY FUNCTORS

Manfred Hartl, Teimuraz Pirashvili, Christine Vespa

In this paper, we give a description of polynomial functors from ( finitely generated free) groups to abelian groups in terms of non-linear Mackey functors generalizing those given in a paper of Baues-Dreckmann-Franjou-Pirashvili published in 2001. This description is a consequence of our two main…

International Mathematics Research Notices, 2015. ⟨hal-00729071v2⟩

• Article dans une revue

Damage Analysis of a Ferritic SiMo Ductile Cast Iron Submitted to Tension and Compression Loadings in Temperature

Isabel Hervas, Anthony Thuault, Eric Hug

Tensile and compression tests were carried out on a ductile cast iron for temperatures up to 1073 K. The damage caused inside and around graphite nodules was evaluated as a function of the local equivalent plastic strain by using microstructural quantifications. The mechanical properties are…

Metals, 2015, 5 (4), pp.19. ⟨10.3390/met5042351⟩. ⟨hal-01314023⟩

• Article dans une revue

Sequences of harmonic maps in the 3-sphere

Bart Dioos, Joeri van Der Veken, Luc Vrancken

We define two transforms of non-conformal harmonic maps from a surface into the 3-sphere. With these transforms one can construct, from one such harmonic map, a sequence of harmonic maps. We show that there is a correspondence between harmonic maps into the 3-sphere, H-surfaces in Euclidean 3-space…

Mathematical News / Mathematische Nachrichten, 2015, 288 (17-18), pp.2001-2015. ⟨10.1002/mana.201400271⟩. ⟨hal-03148557⟩

• Article dans une revue

Ferroelectrics, piezoelectric, and Impedance spectroscopy characterizations of CuO doped (Na_0.52K_0.44)(Nb_0.9Sb_0.06)O₃–0.04LiTaO₃ lead free ceramics

M. Saidi, K. Khalfaoui, Ahcène Chaouchi, Sophie d'Astorg, Mohamed Rguiti, Christian Courtois

CuO was used to reduce the sintering temperature of (Na0.52 K0.44)(Nb0.9 Sb0.06)O3 –0.04LiTaO3 (NKNSLT) piezoelectric ceramics. XRD analysis reveals the formation of single phase perovskite structure. SEM has been used to investigate the grain morphology of the material. Impedance plots have been…

• Article dans une revue

Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions

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

In this note we present some uniqueness and comparison results for a class of problem of the form (0.1) −Lu = H(x, u, ∇u) + h(x), u ∈ H1 0 (Ω) ∩ L∞(Ω), where Ω ⊂ R N , N ≥ 2 is a bounded domain, L is a general elliptic second order linear operator with bounded coefficients and H is allowed to have…

Journal of Mathematical Analysis and Applications, 2014, 420 (1), pp.772-780. ⟨10.1016/j.jmaa.2014.06.007⟩. ⟨hal-03138844⟩

• Article dans une revue

Stability analysis of a class of switched linear systems on non-uniform time domains

Fatima Zohra Taousser, Michael Defoort, Mohamed Djemai

This paper deals with the stability analysis of a class of switched linear systems on non-uniform time domains. The considered class consists of a set of linear continuous-time and linear discrete-time subsystems. First, some conditions are derived to guarantee the exponential stability of this…

Systems & Control Letters, 2014, 74, pp.24-31. ⟨10.1016/j.sysconle.2014.09.012⟩. ⟨hal-03184540⟩