Publications 

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Articles to appear:

1. With A. Elhaj, J-P Chehab, H. LeMeur,  Asymptotic expansion of the solutions to a regularized Boussinesq system (theory and numeric).

2. with M. Berjawi, T. Elerwadi, S. Israwi,  A Rigorous analysis for the Green-Naghdi model for an uneven bottom in presence of the  Coriolis effect and surface tension.

Published articles:

1. With Luc Molinet and Ibtissam Zaiter, On well-posedness for some Korteweg-de-Vries type equations with variable coefficients. J.  Evol.  Equ. 23, 52 (2023).

2. with Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad, Microscopic tridomain model of electrical activity in the heart with dynamical gap junctions. Part 2- Derivation of the macroscopic tridomain model by unfolding homogenisation method. Asymptotic Analysis, vol. 132, no. 3-4 (2023),  pp. 575-606.

3. with Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad, Microscopic tridomain model of electrical activity in the heart with dynamical gap junctions. Part 1- Modeling and Well-posedness. Acta Appl. Math.  179 (2022), Paper No. 11, 37 pp.

3. with Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad, Three scale unfolding homogenisation method applied to cardiac bidomain model,Acta Appl. Math. 176 (2021), Paper No. 14, 37 pp.

4. with Fakhrielddine Bader, Mostafa Bendahmane, Mazen Saad, Derivation of a new macroscopic bidomain model including three scales for the electrical activity of cardiac tissue, Journal of Engineering Mathematics volume 131, Article number: 3 (2021)

5. With C. Guillopé and S. Israwi, Large Time existence For 1D Green- Naghdi equations with presence of vorticity, 2021 DCDS, Series S, 14 (2021), no. 8. 2947-2974.

6. With L. Molinet et I. Zaiter, The Boussinesq system revisited, Nonlinearity, ( 2021), 34 744-775.

7. With G. Chamoun, M. Ibrahim et M. Saad, Asymptotic behavior of solutions of a nonlinear degenerate chemotaxis model, Disc. Cont. Dyn. Syst. Series B, (2020), doi:10.3934/dcdsb.2020092.

8. With M. Bendahman, Fatima Mroue et M. Saad, Unfolding homogenisation method applied to physiological and phenomenological bidomain models in electrocardiology. Nonlinear Analysis: Real World Applications 50 (2019) 413-447.

9. With M. Bendahman, Fatima Mroue et M. Saad, Mathematical analysis of cardiac electromechanics with physiological ionic model. model. Discrete Contin. Dyn. Syst. Ser. B 24 (2019), no. 9, 4863-4897.

10. With H.Nasser ElDine et Mazen Saad, Existence results for a monophasic compressible Darcy-Brinkman flow in porous media. Journal of Elliptic and Parabolic Equations, Volume 5 (2019), Issue 1, pp 125-147.

11. With Alain Miranville et Wafa Saoud, On The Cahn-Hilliard/Allen- Cahn Equations With Singular Potentials. Discrete Contin. Dyn. Syst. Ser. B 24 (2019), no. 8, 3633-3651.

12. With G. Chamoun et M. Saad, Numerical analysis of a chemotaxis- swimming bacteria model on a general triangular mesh. Appl. Num. Math. 127 (2018), no. 3, 324-348.

13. With Alain Miranville and Wafa Saoud, Asymptotic behavior of a model for order-disorder and phase separation. Asymptotic Analysis 103 (2017) 57-76.

14. With Duchêne, V. et Israwi, S., A new class of two-layer Green-Naghdi systems with improved frequency dispersion. Stud. Appl. Math. 137 (2016), no. 3, 356-415.

15. With H. Alrachid et T. Lelièvre, Local and global solutions for a non-local Fokker-Planck equation related to the adaptive biasing force process, J. Differential Equations Vol. 260 (2016), pp.7032-7058.

16. With S. Israwi et R. Lteif, An improved Green-Naghdi model for the full justification of asymptotic models for the propagation of internal waves, Comm. Pure and Appl. Anal., Vol. 14, No. 6 (2015), pp. 2203-2230.

17. With V. Duchene et S. Israwi, A new fully justified asymptotic model for the propagation of internal waves in the Camassa-Holm regimes. SIAM J. Math. Anal. 47 (2015), no. 1, 240-290.

18. With G. Chamoun et M. Saad, A coupled anisotropic chemotaxis- fluid model: the case of two-sidely degenerate diffusion. Computers and Mathematics with applications, Vol. 68, No. 9 (2014), pp. 2052- 2070.

19. With G. Chamoun et M. Saad, Monotone combined edge Finite Element Scheme for anisotropic Keller-Segel Model, Numerical Methods for Partial Differential Equations, 30 (2014), no. 3, 1030-1065.

20. With V. Duchene et S. Israwi, Shallow water asymptotic models for the propagation of Internal waves, Discrete and Continuous Dynamical Systems Series S, Vol. 7, No. 2, pp. 239-269, (2014).

21. With G. Chamoun et M. Saad, Finite volume scheme for isotropic Keller-Segel model with general scalar diffusive functions. ESAIM: PROCEEDINGS, (2014), Vol. 45, p. 128-137.

22. With G. Chamoun et M. Saad, Mathematical analysis of a modified Keller-Segel model with general diffusive tensors, Biomath 2 (2013), 1312071, 1-6.

23. With S. Israwi, Local well-posedness of a nonlinear KDV-Type equation, C. R. Acad. Sci. Paris, Ser. A. 351 (2013) pp. 895-899

24. With C. Guillopé et Z. Salloum, Existence results for flows of slightly compressible viscoelastic fluid in a bounded domain with corners, Anal. Appl. (Singap.) 10 (2012), no. 4, 381-411.

25. With C. Guillopé et Z. Salloum, Regular flows of weakly compressible viscoelastic fluids and the incompressible limit, Disc. Cont. Dyn. Syst. B (DCDS-B), Vol. 14, No. 3, pp. 1001-1028, (2010).

26. With L. Molinet, Newtonian limit for weakly viscoelastic fluids flows of Oldroyd’s type. SIAM Journal of Mathematical Analysis, Vol. 39, No. 5, pp. 1577-1594 (2008).

27. With C. Guillopé et A. Hakim, Existence of steady flows of slightly compressible viscoelastic fluids of White-Metzner type around an obstacle. Communication in Pure and Applied Analysis, Vol. 4, Nu. 1 ( 2005), pp. 23-43 .

28. With L. Molinet, Existence and stability results for 3-D regular flows of viscoelastic fluids of White-Metzner type. Nonlinear Analysis, TMA, Vol. 58, Nu. 7-8 (2004), pp. 813-833.

29. With L. Molinet, Résultats d’existence pour les écoulements réguliers de fluides viscoélastiques incompressibles à loi différentielle de type White-Metzner en dimension 3. C. R. Acad. Sci. Paris, Ser. I 338 (2004) 171-176.

30. With L. Molinet, On the global and periodic regular flows of viscoelastic fluids with differential constitutive law, Nonlinear Differential Equations & Applications Vo. 11, Nu. 3 (2004), pp. 349-359.

31. With C. Guillopé, Steady flows of slightly compressible viscoelastic fluid flows of Jeffreys type around an obstacle. Differential & Integral Equations, Vol 16, N.11, (2003),pp. 1293-1320.

32. With C. Guillopé et A. Mneimné, Asymptotic behaviour, with respect to the isothermal compressibility coefficient, for steady flows of weakly compressible viscoelastic fluids. Asymptotic Analysis, Vol 35, Nu. 2, (2003), pp. 127-150.

33. Existence locale et unicité d'écoulements de fluides viscoélastiques dans des domaines non born ́es. C. R. Acad. Sci. Paris, t 328, Série I, pp. 87-92,(1999).

34. Existence results for steady flow of weakly compressible viscoelastic fluids with differential constitutive law. Differential & Integral Equation. Vol 12, N. 5 (1999), pp. 741-772

35. Unsteady flows of viscoelastic fluids with inflow and outflow boundary conditions. Appl. Math. Lett., vol. 9, Nu.5, p. 93-98,1996.

36. Ecoulements stationnaires de fluides viscoélastiques faiblement compressibles. C.R. Acad. Sci. Paris, t. 320, Série I, p. 1025-1030,1995.