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Optimal control for a two-sidedly degenerate aggregation equation

Mostafa Bendahmane , Fahd Karami , Elmahdi Erraji , Abdelghafour Atlas , Abdelkbir Afraites
Nonlinear Analysis: Modelling and Control, 2023, ⟨10.15388/namc.2023.28.32395⟩
Article dans une revue hal-04124303v1
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A 3D Reaction-Diffusion System Describing Bidomain Calcium Dynamics in Cardiac Cell

Mostafa Bendahmane , Elmahdi Erraji , Fahd Karami
Mathematical Modelling of Natural Phenomena, 2019, 14 (2), pp.27. ⟨10.1051/mmnp/2018064⟩
Article dans une revue hal-01680574v1
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Unfolding homogenization method applied to physiological and phenomenological bidomain models in electrocardiology

Mostafa Bendahmane , Fatima Mroue , Mazen Saad , Raafat Talhouk
Nonlinear Analysis: Real World Applications, 2019, 50, pp.413-447. ⟨10.1016/j.nonrwa.2019.05.006⟩
Article dans une revue hal-02142028v2
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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 , Raafat Talhouk
Acta Applicandae Mathematicae, 2022, 179 (11), ⟨10.1007/s10440-022-00498-7⟩
Article dans une revue hal-03682214v1

Nonlinear anisotropic elliptic and parabolic equations with variable exponents and $L^1$ data

Mostafa Bendahmane , Kenneth Karlsen , Mazen Saad
Communications on Pure and Applied Analysis, 2013, 12 (3), pp.1201 - 1220. ⟨10.3934/cpaa.2013.12.1201⟩
Article dans une revue hal-01755332v1

Renormalized solutions of the fractional Laplace equation

Nathael Alibaud , Boris Andreianov , Mostafa Bendahmane
Comptes Rendus. Mathématique, 2010, 348, pp. 759-762. ⟨10.1016/j.crma.2010.05.006⟩
Article dans une revue hal-01208279v1
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On a primal-mixed, vorticity-based formulation for reaction-diffusion-Brinkman systems

Veronica Anaya , Mostafa Bendahmane , David Mora , Ricardo Ruiz-Baier
2016
Pré-publication, Document de travail hal-01407343v1
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Controllability of a Degenerating Reaction-diffusion System in Electrocardiology

Mostafa Bendahmane , Felipe Wallison
SIAM Journal on Control and Optimization, 2015, 53 (6), pp.3483-3502
Article dans une revue hal-01256761v1

Well-posedness results for triply nonlinear degenerate parabolic equations.

Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen , Stanislas Ouaro
Journal of Differential Equations, 2009, 247 (1), pp.277-302. ⟨10.1016/j.jde.2009.03.001⟩
Article dans une revue hal-00475758v1

Mathematical Analysis and Pattern Formation for a Partial Immune System Modeling the Spread of an Epidemic Disease

Mostafa Bendahmane , Mazen Saad
Acta Applicandae Mathematicae, 2011, 115 (1), pp.17-42. ⟨10.1007/s10440-010-9569-3⟩
Article dans une revue hal-02500045v1

Convergence of a finite volume scheme for gas–water flow in a multi-dimensional porous medium

Mostafa Bendahmane , Ziad Khalil , Mazen Saad
Mathematical Models and Methods in Applied Sciences, 2014, 24 (01), pp.145 - 185. ⟨10.1142/S0218202513500498⟩
Article dans une revue hal-01755298v1

The rose genome sequencing initiative.

Fabrice Foucher , Laurence Hibrand-Saint Oyant , Latifa Hamama , Tatiana Thouroude , Annie Chastellier , et al.
VII International Symposium on Rose Research and Cultivation, Jul 2017, Angers, France
Communication dans un congrès hal-03104072v1
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Kinetic-fluid derivation and mathematical analysis of cross-diffusion-Brinkman system

Mostafa Bendahmane , Fahd Karami , Mohammed Zagour
Mathematical Methods in the Applied Sciences, 2019, ⟨10.1002/mma.5139⟩
Article dans une revue hal-01680584v1
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Convergence of discrete duality finite volume schemes for the cardiac bidomain model

Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen , Charles Pierre
Networks and Heterogeneous Media, 2011, In Press, pp.1-45
Article dans une revue hal-00526047v2

Mathematical and numerical analysis of optimal control for the tridomain in cardiac electrophysiology

Bedr'Eddine Ainseba , Mostafa Bendahmane , Ricardo Ruiz-Baier
Journal of Mathematical Analysis and Applications, 2012, pp.231-247
Article dans une revue hal-01015266v1

Software for inverse voltage calculations in the heart's surface

Bedr'Eddine Ainseba , Mostafa Bendahmane , Alejandro Lopez
IEEE Aerospace and Electronic Systems Magazine, 2012, pp.34-39
Article dans une revue hal-01015346v1

Remarks about spatially structured SI model systems with cross diffusion

Veronica Anaya , Mostafa Bendahmane , Michel Langlais , Mauricio Sepulveda
B. N. Chetverushki; W. Fitzgibbon; Y.A. Kuznetsov; P. Neittaanmäki; J. Periaux; O. Pironneau. Contributions to Partial Differential Equations and Applications, 47, Springer, pp.21, 2019, Computational Methods in Applied Sciences, ⟨10.1007/978-3-319-78325-3_5⟩
Chapitre d'ouvrage hal-02142018v1

A gradient reconstruction formula for finite volume schemes and discrete duality

Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen
Finite volumes for complex applications V, Jun 2008, Aussois, France. pp. 161-168
Communication dans un congrès hal-00475877v1

Mathematical and numerical analysis for Predator-prey system in a polluted environment

Mostafa Bendahmane , Veronica Anaya , Mauricio Sepúlveda
Networks and Heterogeneous Media, 2010, 5 (4), pp.813 - 847. ⟨10.3934/nhm.2010.5.813⟩
Article dans une revue hal-01015864v1

A Virtual Element Method for a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology

Veronica Anaya , Mostafa Bendahmane , David Mora , Mauricio Sepulveda
IMA Journal of Numerical Analysis, In press, ⟨10.1093/imanum/drz001⟩
Article dans une revue hal-02142031v1
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The Heart Recording Conditions Impact the Assessment of the Electrocardiography Imaging Inverse Solution

Amel Karoui , Laura Bear , Pauline Migerditichan , Mostafa Bendahmane , Nejib Zemzemi
CinC 2018 - 45th Computing in Cardiology Conference, Sep 2018, Maastricht, Netherlands
Communication dans un congrès hal-01923927v1
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On 3D Numerical Inverse Problems for the Bidomain Model in Electrocardiology

Bedr'Eddine Ainseba , Mostafa Mostafa Bendahmane , Alejandro Lopez
Computers & Mathematics with Applications, 2015, 69 ( 4), pp.255-274
Article dans une revue hal-01256825v1

Numerical analysis for a three interacting species model with nonlocal and cross diffusion

Mostafa Bendahmane , Veronica Anaya , Mauricio Sepulveda
ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 49 (1), pp.171-192. ⟨10.1051/m2an/2014028⟩
Article dans une revue hal-01015917v1
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On 3D DDFV discretization of gradient and divergence operators. II. Discrete functional analysis tools and applications to degenerate parabolic problems.

Boris Andreianov , Mostafa Bendahmane , Florence Hubert
Computational Methods in Applied Mathematics, 2013, 13 (4), pp. 369-410. ⟨10.1515/cmam-2013-0011⟩
Article dans une revue hal-00567342v3
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Solvability analysis and numerical approximation of linearized cardiac electromechanics

Boris Andreianov , Mostafa Bendahmane , Alfio Quarteroni , Ricardo Ruiz Baier
Mathematical Models and Methods in Applied Sciences, 2015, 25, pp.959-993. ⟨10.1142/S0218202515500244⟩
Article dans une revue hal-00865585v3

Nonlinear anisotropic elliptic and parabolic equations with variable exponents and L1 data

Mostafa Bendahmane , K.H. Karlsen , M. Saad
Communications on Pure and Applied Analysis, 2013, 12 (3), pp.1201 - 1220
Article dans une revue hal-01015815v1

Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations

Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen
Journal of Hyperbolic Differential Equations, 2010, 7 (1), pp.1--67. ⟨10.1142/S0219891610002062⟩
Article dans une revue hal-00475752v1
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Numerical Analysis of a Finite Element Method for an Optimal Control of Bidomain-bath Model

Mostafa Bendahmane , Nagaiah Chamakuri
Journal of Differential Equations, 2017, 263 (5), pp.2419-2456. ⟨10.1016/j.jde.2017.04.001⟩
Article dans une revue hal-01259773v1
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Conservative cross diffusions and pattern formation through relaxation

Mostafa Bendahmane , Thomas Lepoutre , Americo Marrocco , Benoît Perthame
2009
Autre publication scientifique inria-00368595v1
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Structural stability for variable exponent elliptic problems. II. The $p(u)$-laplacian and coupled problems.

Boris Andreianov , Mostafa Bendahmane , Stanislas Ouaro
Nonlinear Analysis: Theory, Methods and Applications, 2010, 72 (12), pp. 4649-4660. ⟨10.1016/j.na.2010.02.044⟩
Article dans une revue hal-00402869v1