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Article dans une revue

Minimal translation hypersurfaces in E4

Marilena Moruz, Marian Ioan Munteanu

In this paper we consider hypersurfaces in the Euclidean space E4 defined as the sum of a curve and a surface whose mean curvature vanishes. We call them minimal translation hypersurfaces in E4 and give a classification of these hypersurfaces.

Journal of Mathematical Analysis and Applications, 2016, 439 (2), pp.798-812. ⟨10.1016/j.jmaa.2016.02.077⟩. ⟨hal-03187545⟩

Article dans une revue

Residual-based a posteriori estimators for the potential formulations of electrostatic and time-harmonic eddy current problems with voltage or current excitation

Chao Chen, Emmanuel Creusé, Serge Nicaise, Zuqi Tang

In this paper, we present some residual-based a posteriori estimators for the potential formulations of electrostatic and time-harmonic eddy current problems with voltage or current excitation. The reliability of the proposed estimators is proved and some numerical experiments are carried out to…

International Journal for Numerical Methods in Engineering, 2016, 107 (5), pp.377-394 ⟨10.1002/nme.5168⟩. ⟨hal-01390241⟩

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Residual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes–Darcy coupled problem: isotropic discretization

Serge Nicaise, Bernardin Ahounou, Wilfrid Koffi Houedanou

In this paper we develop an a posteriori error analysis of a nonconforming mixed finite element method for the coupling of fluid flow with porous media flow. The approach utilizes the same nonconforming Crouzeix–Raviart element discretization on the entire domain (Rui and Zhang, Comput Methods Appl…

Afrika Matematika, 2016, 27 (3), pp.701-729. ⟨10.1007/s13370-015-0370-3⟩. ⟨hal-03158714⟩

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Electrical, dielectric and photocatalytic properties of Fe-doped ZnO nanomaterials synthesized by sol gel method

Yacine Cherifi, Ahcène Chaouchi, Yannick Lorgouilloux, Mohamed Rguiti, Abdelaziz Kadri, Christian Courtois

Fe-doped ZnO nanoparticles were synthesized by sol gel technique. Fine-scale and single phase hexagonal wurtzite structure in all samples were confirmed by SEM and XRD, respectively. The band gap energy depends on the amount of Fe and was found to be in the range of 3.11–2.53 eV. The electric and…

Processing and Application of Ceramics, 2016, 10 (3), pp.125-135. ⟨10.2298/PAC1603125C⟩. ⟨hal-03120131⟩

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Lorentzian Isotropic Lagrangian Immersions

Franki Dillen, Luc Vrancken

In this note we are interested in isotropic totally real Lorentzian submanifolds of indefinite complex space forms. We show that such submanifolds are always $H$-umbilical warped product immersions and we determine also the warping function.

Filomat, 2016, 30 (10), pp.2857-2867. ⟨10.2298/FIL1610857D⟩. ⟨hal-03148439⟩

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An intuitive way for constructing parametric quadric triangles

Gudrun Albrecht, Marco Paluszny, Marianela Lentini

We present an intuitive algorithm for providing quadric surface design elements with shape parameters. To this end, we construct rational parametric triangular quadratic patches which lie on quadrics. The input of the algorithm is three vertex data points in 3D and normals at these points. It…

Journal of Computational and Applied Mathematics, 2016, 35 (2), pp.595-617. ⟨10.1007/s40314-014-0207-y⟩. ⟨hal-03228084⟩

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A blow-up result in a nonlinear abstract evolution system with delay

Mohammad Kafini, Salim Messaoudi, Serge Nicaise

In this paper we consider a second-order abstract evolution system with delay. We show that, under suitable conditions on the initial data and the involved functionals, the energy of solutions blows up in finite-time. We also give some concrete examples to illustrate our main result.

Nonlinear Differential Equations and Applications, 2016, 23 (2), p. 1-14. ⟨10.1007/s00030-016-0371-4⟩. ⟨hal-03163602⟩

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Existence and stability results for thermoelastic dipolar bodies with double porosity

M. Marin, Serge Nicaise

This paper is concerned with the theory of thermoelastic dipolar bodies which have a double porosity structure. In contrast with previous papers dedicated to classical elastic bodies, in our context the double porosity structure of the body is influenced by the displacement field, which is…

Continuum Mechanics and Thermodynamics, 2016, 28 (6), p. 1645- 1657. ⟨10.1007/s00161-016-0503-4⟩. ⟨hal-03163613⟩

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Quantum geometry and quantization on U(u(2)) background. Noncommutative Dirac monopole

Dimitri Gurevich, Pavel Saponov

In our previous publications we introduced differential calculus on the enveloping algebras U (gl(m)) similar to the usual calculus on the commutative algebra Sym(gl(m)). The main ingredients of our calculus are quantum partial derivatives which turn into the usual partial derivatives in the…

Journal of Geometry and Physics, 2016, 106, pp.87-97. ⟨10.1016/j.geomphys.2016.03.007⟩. ⟨hal-03172942⟩

Article dans une revue

On Chen Ideal Submanifolds Satisfying Some Conditions of Pseudo-symmetry Type

Ryszard Deszcz, Miroslava Petrović-Torgašev, Leopold Verstraelen, Georges Zafindratafa

In this paper, we study Chen ideal submanifolds Mn of dimension n in Euclidean spaces En+m (n≥4, m≥1) satisfying curvature conditions of pseudo-symmetry type of the form: the difference tensor R⋅C−C⋅R is expressed by some Tachibana tensors. Precisely, we consider one of the following three…

Bulletin of the Malaysian Mathematical Sciences Society, 2016, 39 (1), pp.103-131. ⟨10.1007/s40840-015-0164-7⟩. ⟨hal-03148398⟩