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Affichage de 481 à 490 sur 596

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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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Robust residual a posteriori error estimators for the Reissner-Mindlin eigenvalues system

Emmanuel Creusé, Serge Nicaise, Emmanuel Verhille

We consider a conforming finite element approximation of the Reissner-Mindlin eigenvalue system, for which a robust a posteriori error estimator for the eigenvector and the eigenvalue errors is proposed. For that purpose, we first perform a robust a priori error analysis without strong regularity…

Journal of Numerical Mathematics, 2013, 21 (2), pp.89-134. ⟨10.1515/jnum-2013-0004⟩. ⟨hal-00777682v2⟩

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Time-domain study of the Drude–Born–Fedorov model for a class of heterogeneous chiral materials

Serge Nicaise

We deal with the well-posedness of the transient Maxwell equations in a particular class of heterogeneous isotropic chiral material modeled by the Drude-Born-Fedorov constitutive relations with different boundary conditions. A new formulation of the underlying evolution problems allows us to…

Mathematical Methods in the Applied Sciences, 2013, 36 (7), pp.794-813. ⟨10.1002/mma.2627⟩. ⟨hal-03163846⟩

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A Resonant-Superlinear Elliptic Problem Revisited

Mabel Cuesta, Colette De Coster

We consider the resonant-superlinear elliptic problem−∆u=λ1u+(u+)q+f(x), withDirichlet boundary conditions on a bounded regular domain ofRN. We assume that 1<q<N+1N−1,f∈Ls(Ω) withs>Nsatisfies∫Ωfφ1<0 and (λ1,φ1) is the first eigenpair of−∆onH10(Ω). We apply a non-well ordered lower and…

Advanced Nonlinear Studies, 2013, 13 (1), pp.97-114. ⟨10.1515/ans-2013-0106⟩. ⟨hal-03137546⟩