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Article dans une revue

Heteroclinics for non autonomous third order differential equations

Denis Bonheure, José Ángel Cid, Colette De Coster, Luís Sanchez

We study the existence of heteroclinics connecting the two equilibria $\pm1$ of the third order differential equation $$u'''=f(u)+p(t)u'$$ where $f$ is a continuous function such that $f(u)(u^2-1)> 0$ if $u\neq\pm1$ and $p$ is a bounded non negative function. Uniqueness is…

Topological Methods in Nonlinear Analysis, 2014, 43 (1), pp.53-68. ⟨10.12775/tmna.2014.004⟩. ⟨hal-03135614⟩

Article dans une revue

Development of Antibacterial Polyester Fabric by Growth of ZnO Nanorods

Munir Ashraf, Frédéric Dumont, Campagne Christine, Philippe Champagne, Anne Perwuelz, Anne Leriche, Nour-Eddine Chihib

ZnO nanorods were grown on polyester fabric by hydrothermal process. The seeding of fabric to grow ZnO nanorods was necessary because they did not grow without seeding. An air plasma treatment was carried out on polyester fabric to generate polar groups which could attach ZnO seeds. ZnO nanorods…

Journal of Engineered Fibers and Fabrics, 2014, 9 (1), ⟨10.1177/155892501400900103⟩. ⟨hal-03121204⟩

Article dans une revue

Microwave sintering of large size pieces with complex shape

Anthony Thuault, Etienne Savary, J. Bazin, S. Marinel

In this study, large size pieces of kaolin with a complex shape were successfully sintered in a microwave multimode cavity. The challenge was to obtain a sample homogeneously sintered on a large surface. For this purpose, prior to sintering, a finite element modelling study was carried out to…

Journal of Materials Processing Technology, 2014, 214 (2), pp.470-476. ⟨10.1016/j.jmatprotec.2013.09.030⟩. ⟨hal-02450337⟩

Article dans une revue

Cohomological equations and invariant distributions on a compact Lie group

Aziz El Kacimi Alaoui, Hadda Hmili

This paper deals with two analytic questions on a connected compact Lie group G. i) Let a ε G and denote by γ the diffeomorphism of G given by γ (x) = ax (left translation by a). We give necessary and sufficient conditions for the existence of solutions of the cohomological equation f - fo γ = g on…

Hokkaido Mathematical Journal, 2014, 43 (2), pp.151-173. ⟨10.14492/hokmj/1404229920⟩. ⟨hal-03164536⟩

Article dans une revue

Space-time residual-based a posteriori estimators for the A/Phi magneto dynamic formulation of the Maxwell system

Emmanuel Creusé, Serge Nicaise, Roberta Tittarelli

In this paper, an a posteriori residual error estimator is proposed for the A/Phi magnetodynamic Maxwell system given in its potential and space/time formulation and solved by a Finite Element method. The reliability as well as the e ciency of the estimator are established for several norms. Then,…

Computational Methods in Applied Mathematics, 2014, 14 (4), pp.429-460. ⟨10.1515/cmam-2014-0015⟩. ⟨hal-00921116⟩

Article dans une revue

Source identification for the wave equation on graphs, Identification de sources pour l'équation des ondes sur des graphes

Sergei Avdonin, Serge Nicaise

We consider source identification problems for the wave equation on an interval and on trees. The main advantage of our approach is its locality. Our algorithm reduces essentially to the resolution of a linear integral Volterra equation of the second kind and is new even for an interval., Nous considérons un problème d'identification de sources pour l'équation des ondes sur un intervalle ou sur des arbres. L'avantage principal de notre approche est sa localité. Notre algorithme se réduit essentiellement à la résolution d'une équation intégrale de Volterra du…

C. R. Math. Acad. Sci. Paris, 2014, 352 (11), pp.907-912. ⟨10.1016/j.crma.2014.09.008⟩. ⟨hal-03149902⟩

Article dans une revue

Well-posedness and spectral properties of heat and wave equations with non-local conditions

Delio Mugnolo, Serge Nicaise

We consider the one-dimensional heat and wave equations but – instead of boundary conditions – we impose on the solution certain non-local, integral constraints. An appropriate Hilbert setting leads to an integration-by-parts formula in Sobolev spaces of negative order and eventually allows us to…

Journal of Differential Equations, 2014, 256 (7), pp.2115-2151. ⟨10.1016/j.jde.2013.12.016⟩. ⟨hal-03163703⟩

Article dans une revue

A coupled Maxwell integrodifferential model for magnetization processes

Serge Nicaise, Fredi Tröltzsch

A mathematical model for instationary magnetization processes is considered, where the underlying spatial domain includes electrically conducting and nonconducting regions. The model accounts for the magnetic induction law that couples the given electrical voltage with the induced electrical…

Mathematical News / Mathematische Nachrichten, 2014, 287 (4), pp.432-452. ⟨10.1002/mana.201200206⟩. ⟨hal-03166126⟩

Article dans une revue

On Steinitz classes of nonabelian Galois extensions and p-ary cyclic Hamming codes

Maya Farhat, Bouchaïb Sodaïgui

Let k be a number field and Cl(k) its class group. Let Γ be a finite group. Let Rt(k,Γ) be the subset of Cl(k) consisting of those classes which are realizable as Steinitz classes of tamely ramified Galois extensions of k with Galois group isomorphic to Γ. Let p be a prime number. In the present…

Journal of Number Theory, 2014, 134, pp.93-108. ⟨10.1016/j.jnt.2013.07.003⟩. ⟨hal-03149645⟩

Article dans une revue

A priori error estimates for finite element methods for H(2;1)-elliptic equations

Thomas Apel, T. Flaig, Serge Nicaise, Thomas G Flaig

The convergence of finite element methods for linear elliptic boundary value problems of second and forth order is well understood. In this article, we introduce finite element approximations of some linear semi-elliptic boundary value problem of mixed order on a two-dimensional rectangular domain…

Numerical Functional Analysis and Optimization, 2014, 35 (2), pp.153-176. ⟨10.1080/01630563.2013.811600⟩. ⟨hal-03138800⟩