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Article dans une revue

Braided algebras and their applications to Noncommutative Geometry

Dimitri Gurevich, Pavel Saponov

We introduce the notion of a braided algebra and study some examples of these. In particular, R-symmetric and R-skew-symmetric algebras of a linear space V equipped with a skew-invertible Hecke symmetry R are braided algebras. We prove the “mountain property” for the numerators and denominators of…

Advances in Applied Mathematics, 2013, 51 (2), pp.228-253. ⟨10.1016/j.aam.2013.02.004⟩. ⟨hal-03155708⟩

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Classes de Steinitz d'extensions galoisiennes à groupe de Galois un 2-groupe

Bouchaïb Sodaïgui

Let k be a number field and Cl(k) its class group. Let Γ be a finite group and |Γ | its order. Let R(k,Γ) (resp. Rm(k,Γ)) be the subset of Cl(k) consisting of those classes which are realizable as Steinitz classes of Galois extensions (resp. tamely ramified Galois extensions) of k with Galois group…, Soient k un corps de nombres et Cl(k) son groupe de classes. Soient Γ un groupe fini et |Γ | son ordre. Soit R(k,Γ) (resp.Rm(k,Γ)) le sous-ensemble de Cl(k) formé par les éléments qui sont réalisables par les classes de Steinitz d’extensions galoisiennes (resp. galoisiennes et modérément ramifiées…

Functiones et Approximatio Commentarii Mathematici, 2013, 48 (2), ⟨10.7169/facm/2013.48.2.2⟩. ⟨hal-03184707⟩

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Residual Based a Posteriori Error Estimators for Harmonic A/φ and T/Ω Formulations in Eddy Current Problems

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

For eddy current problems, potential formulations are widely used nowadays. In this paper, residual based a posteriori error estimators are introduced to evaluate the discretization error in the finite element calculation in both case of A /φ and T /Ω harmonic formulations. A device with eddy…

IEEE Transactions on Magnetics, 2013, 49 (5), pp.1721-1724. ⟨10.1109/TMAG.2013.2241408⟩. ⟨hal-00910319⟩

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Development of superhydrophilic and superhydrophobic polyester fabric by growing Zinc Oxide nanorods

Anne Perwuelz, Munir Ashraf, Christine Campagne, Philippe Champagne, Anne Leriche, Christian Courtois

ZnO nanorods were grown on microfibers of Polyethylene terephthalate (PET) fabric by seeding method to develop hierarchical roughness structure. XRD and XPS analysis show the presence of crystalline ZnO and chemical Zn species at the fiber surface at each stage of the process. Five series of…

Journal of Colloid and Interface Science, 2013, 394, pp.545-553. ⟨10.1016/j.jcis.2012.11.020⟩. ⟨hal-03033269⟩

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On actions and strict actions in homological categories

Manfred Hartl, Bruno Loiseau

Let $G$ be an object of a finitely cocomplete homological category $\mathbb C$. We study actions of $G$ on objects $A$ of $\mathbb C$ (defined by Bourn and Janelidze as being algebras over a certain monad $\mathbb T_G$), with two objectives: investigating to which extent actions can be described in…

Theory and Applications of Categories, 2013, 27 (15), pp.347-392. ⟨hal-03149616⟩

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Classes de Steinitz dʼextensions galoisiennes à groupe de Galois de centre non trivial

Bouchaïb Sodaïgui

Let k be a number field and Cl(k) its class group. Let Γ be a finite group and |Γ| its order. Let R(k, Γ) (resp. R m(k, Γ)) be the subset of Cl(k) consisting of those classes which are realizable as Steinitz classes of Galois extensions (resp. tamely ramified Galois extensions) of k with Galois…

Journal of Number Theory, 2013, 133 (2), pp.611-619. ⟨10.1016/j.jnt.2012.08.015⟩. ⟨hal-03187571⟩

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On Some Holomorphic Cohomological Equations

Aziz El Kacimi Alaoui

Let Σ be a non compact Riemann surface and γ:Σ⟶Σ an automorphism acting freely and properly such that the quotient M = Σ/γ is a non compact Riemann surface. Using the fact that Σ and M are Stein manifolds, we prove that, for any holomorphic function g:Σ⟶C and any λ∈C , there exists a holomorphic…

Results in mathematics = Resultate der Mathematik, 2013, 63 (1-2), pp.329-334. ⟨10.1007/s00025-011-0201-2⟩. ⟨hal-03148580⟩

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Lower and upper solutions for the heat equation on a polygonal domain of R2

Colette De Coster, Serge Nicaise

We consider the nonlinear periodic-Dirichlet heat equation on a polygonal domain of the plane in weighted Lp-Sobolev spaces equation presented Here f is Lp(0; T;Lpμ(Ω)-Caratheodory, where L pμ(Ω) = {v ε Lploc(Ω) : rμv ε Lp(Ω)}, with a real parameter μ and r(x) the distance from x to the set of…

Differential and integral equations, 2013, 26 (5/6), pp.603-622. ⟨hal-03137717⟩

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Spectral analysis and exponential or polynomial stability of some indefinite sign damped problems

F. Abdallah, D. Mercier, Serge Nicaise

In this paper, we consider two damped wave problems for which the damping terms are allowed to change their sign. Using a careful spectral analysis, we find critical values of the damping coefficients for which the problem becomes exponentially or polynomially stable up to these critical values.

Evolution Equations and Control Theory, 2013, 2, pp.1-33. ⟨10.3934/eect.2013.2.1⟩. ⟨hal-03134858⟩

Article dans une revue

Photocatalytic solution discoloration and self-cleaning by polyester fabric functionalized with ZnO nanorods

Munir Ashraf, Philippe Champagne, Anne Perwuelz, Campagne Christine, Anne Leriche

Polyester fabric was functionalized with ZnO nanorods grown by hydrothermal method. The ZnO seeds were deposited on fabric which provided the sites for growth of nanorods. The functionalized fabric showed self-cleaning by degrading color stains and solution discoloration under the effect of…

Journal of Industrial Textiles, 2013, 44 (6), pp.884-898. ⟨10.1177/1528083713519662⟩. ⟨hal-03121037⟩