356 citations
- Centre National de la Recherche ScientifiqueFR24 papers
- Laboratoire des Sciences de l'Ingénieur pour l'EnvironnementFR18 papers
- King Abdulaziz UniversitySA7 papers
- Laboratoire Informatique, Image et Interaction (L3i)7 papers
- Université de PoitiersFR6 papers
- Institut de Mathématiques de BordeauxFR5 papers
- Laboratoire de Mathématiques Blaise PascalFR5 papers
- Université de BordeauxFR5 papers
- Institut Polytechnique de BordeauxFR4 papers
- Laboratoire Mathématiques, Image et Applications4 papers
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11 papers · 1 filter
Homogenized phase transition model for perforated ferromagnetic media
Catherine Choquet, Mohamed Ouhadan, Mouhcine Tilioua
This work presents a rigorous prediction of the effective equations governing the paramagnetic-ferromagnetic phase transition in a perforated three-dimensional body. Assuming a per…
Microscopic Tridomain Model of Electrical Activity in the Heart with Dynamical Gap Junctions. Part 1 -- Modeling and Well-Posedness
Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad +1
We present a novel microscopic tridomain model describing the electrical activity in cardiac tissue with dynamical gap junctions. The microscopic tridomain system consists of three…
Three Scale Unfolding Homogenization Method Applied to Cardiac Bidomain Model
Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad +1
In this paper, we are dealing with a rigorous homogenization result at two different levels for the bidomain model of cardiac electro-physiology. The first level associated with th…
Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations
Mokhtar Kirane, Berikbol T. Torebek
In this paper we obtain new estimates of the Hadamard fractional derivatives of a function at its extreme points. The extremum principle is then applied to show that the initial-bo…
On a backward problem for multidimensional Ginzburg-Landau equation with random data
Mokhtar Kirane, Erkan Nane, Nguyen Huy Tuan
In this paper, we consider a backward in time problem for Ginzburg-Landau equation in multidimensional domain associated with some random data. The problem is ill-posed in the sens…
A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index
Ahmed Alsaedi, Bashir Ahmed, Durga Prasad Challa +2
We deal with the scattering of an acoustic medium modeled by an index of refraction varying in a bounded region of and equal to unity outside . This regio…