introduction/brief CV
CURRICULUM VITAE
JAMEL BENAMEUR
Professor of Mathematics & Researcher
Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
Tel.: +966 56 287 9450 | E-mail: jbenameur@ksu.edu.sa
PERSONAL INFORMATION
• First name: Jamel
• Last name: Benameur
• Date and place of birth: 17 November 1970, Douz, Tunisia
• Marital status: Married
• Professional address: Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Kingdom of Saudi Arabia
EDUCATION
• July 2011 — Habilitation to Conduct Research (HDR) in Mathematics, University of Tunis El Manar, Faculty of Sciences, Tunisia. Title: “Asymptotic Study of Some Nonlinear Evolution Equations and Lack of Compactness.”
• March 2004 — PhD in Mathematics, University of Tunis El Manar, Faculty of Sciences, Tunisia. Thesis: “Asymptotic Study of Some Evolution Equations and Lack of Compactness on the Heisenberg Group.” Distinction: Very Honorable. Supervisor: Professor Hajer Bahouri.
ACADEMIC TRAINING & CONFERENCES
• March–June 1998 — Four-month advanced scientific training at Lycée Louis-le-Grand, Paris, France.
• April 2000 — Research training, Faculty of Sciences at Orsay, Paris, France.
• December 2001 — Research training, Faculty of Sciences at Orsay, Paris, France.
• December 2002 — Research training, Faculty of Sciences at Orsay, Paris, France.
• September 2003 — Franco-Tunisian Conference on Partial Differential Equations, Hammamet, Tunisia. Talk: “About MHD System with Small Parameter.”
• June 2008 — GDR CNRS 2434 Conference, Analysis of Partial Differential Equations, Évian-les-Bains, France.
• 12–13 March 2019 — Third International Conference on Operator Theory, Partial Differential Equations and Applications, El Oued University, Algeria.
• 18–21 December 2023 — International Conference on Mathematics and Applications (ICoMA2023), Djerba, Tunisia. Talk: “Introduction to the Study of Evolution Equations.”
• 6–7 January 2024 — Potential Theory and Partial Differential Equations Days, in honor of Professor Habib Mâagli, Hammamet, Tunisia.
• 8–9 May 2024 — Scientific Days in honor of Professors Mohamed Selmi and Hassine Elmir: Potential Theory and Complex Analysis.
• 1–5 January 2025 — International Conference on Mathematics and Applications (ICoMA2025). Chairman of the Organizing Committee.
ACADEMIC & TEACHING EXPERIENCE
• 30 October 2025–Present — Professor, King Saud University, College of Science, Saudi Arabia.
• March 2019–29 October 2025 — Professor, University of Gabes, Faculty of Sciences of Gabes, Tunisia. Partial Differential Equations, Ordinary Differential Equations, Harmonic Analysis, Hilbert Analysis, Sobolev Spaces and Advanced Mathematical Analysis; supervision of graduation and Master 1 projects.
• 2018–February 2019 — Professor, University of Gabes, ISSAT, Tunisia. Mathematics II and MP2; Partial Differential Equations at Master 2 level.
• 2015–2018 — Associate Professor, University of Gabes, Tunisia. Mathematics II and MP2; Partial Differential Equations at Master 2 level.
• 2013–2015 — Associate Professor, King Saud University, Saudi Arabia. Real Analysis, Lebesgue Integration, Master 2; supervision of mathematics graduation projects; 106Math, 204Math, 151Math, 203Math, etc.
• 2008–2013 — Assistant Professor, King Saud University, Saudi Arabia. Integral Calculus, Lebesgue Integration, Master 2; supervision of graduation projects.
• 2007–2008 — Assistant Professor, University of Carthage, Faculty of Sciences of Bizerte, Tunisia. Topology, Lebesgue Integration, Complex Variables.
• 2005–2007 — Assistant Professor, Teachers College of Alqunfudah, Umm Al-Qura University, Saudi Arabia. Linear Algebra and Ordinary Differential Equations.
• 2004–2005 — Assistant Professor, University of Carthage, Faculty of Sciences of Bizerte, Tunisia. Topology, Lebesgue Integration, Complex Variables, Fourier Analysis.
• 2001–2004 — Teaching Assistant, Preparatory Institute for Engineering Studies of Monastir, University of Monastir, Tunisia. Algebra, Analysis, Complex Variables and Fourier Analysis.
• 1997–2001 — Aggregate Professor, Preparatory Institute for Scientific and Technical Studies (IPEST), University of Carthage, Tunisia. Algebra and Analysis for Mathematics–Physics and Aggregation classes.
ACADEMIC SERVICE & OTHER ACTIVITIES
• Reviewer of several HDR research dossiers.
• Member and Chair of HDR examination committees.
• Reviewer of several doctoral theses.
• Member and Chair of several doctoral thesis committees.
• Member and Chair of several Master’s thesis committees.
• Supervisor of graduation and Master 1 projects, including Uniform Continuity, Weierstrass Function, Hölder Spaces, Convexity, Cauchy–Lipschitz Theorem and Fubini’s Theorem.
• Member of the External Aggregation in Mathematics Committee for the 2017, 2018, 2021, 2022, 2023 and 2024 sessions in Tunisia.
• Member of the Mathematics Assistant Professor Recruitment Committee, 2024.
• Member of the Laboratory for Mathematics and Applications (LR17ES11), University of Gabes, 2017–Present.
• Head of the Hatem Bettahar IReSCoMath Research Laboratory (LR20ES11), 2021–2023.
• Member of the Laboratory for Partial Differential Equations in Tunisia, University of Tunis El Manar, 2003–2017.
• Member of the committee responsible for the National Mathematics Examination for admission to Engineering Schools, 1998–1999.
• Publication of the correction of the 1999 École Normale Supérieure de Paris (Rue d’Ulm) examination in Revue de Mathématiques Spéciales, 2000.
SHORT COURSES & SEMINARS
• 17–20 July 2017 — Study of an Example of an Evolution Equation, Summer School of the PDE Laboratory, University of Tunis El Manar.
• 7–9 May 2018 — Description of the Lack of Compactness of the Sobolev Embedding, PhD Students’ Days, University of Gabes.
• May 2019 — Besov Spaces, PhD Students’ Days, University of Gabes.
• 2017–Present — Participation in the Mathematics Seminar, Faculty of Sciences, University of Gabes.
• 18 November 2020 — Mathematics Seminar, Faculty of Sciences of Monastir. Talk: “Blow-up Criterion of Navier–Stokes System Solution in Ḣ⁵ᐟ²(R³).”
RESEARCH INTERESTS
• Local and global existence for MHD and incompressible fluid equations (Navier–Stokes, Euler); uniqueness and regularity of solutions.
• Asymptotic theory for problems affected by small or large parameters, including rotating fluids, anisotropic equations, magnetohydrodynamic equations, dispersive effects, filtered solutions and oscillations.
• Blow-up criteria for non-regular solutions.
• Stability of global solutions.
• Lack of compactness in Sobolev embeddings.
• Linear Algebra.
• Orthogonal Polynomials.
• Operator Theory.
• Keywords: Strichartz inequality, energy estimates, critical spaces, Navier–Stokes, Euler, MHD systems, filtered solutions, oscillations, compactness, convergence, Sobolev embeddings, blow-up criteria, Gevrey spaces, global solutions, stability.
SUPERVISED DOCTORAL THESES
• Mustapha Amara(Assistant Professor) — Study of Anisotropic Quasi-Geostrophic Equations in Sobolev Spaces, 20 June 2023, University of Gabes.
• Chaala Katar — Study of Dissipative Quasi-Geostrophic Equations in Two Dimensions, 20 June 2023, University of Gabes.
• Maroua Ltifi(Assistant Professor)— Global Solutions of Navier–Stokes Equations with Damping, 17 May 2023, University of Gabes.
• Mariem Ben Naceur — Asymptotic Study of Some Evolution Equations, 12 January 2022, University of Gabes.
• Saber Ben Abdallah — Global Solutions of Some Evolution Equations, 12 January 2022, University of Gabes.
• Hajer Orf — Explosion Criterion of the Navier–Stokes Equations in Sobolev Space, 7 November 2020, University of Gabes.
• Lotfi Jlali(Associate Professor) — Maximal Solutions of the Incompressible Navier–Stokes Equations in 3D, 30 January 2017, University of Tunis El Manar.
• Moez Benhamed(Assistant Professor) — Study of Some Quasi-Geostrophic Surface Equations in Two-Dimensional Space, 30 January 2017, University of Tunis El Manar.
SUPERVISED MASTER'S THESES
• Haneen Saleem Alholi — Heine–Stieltjes Theorem and Differential Equations, 23 January 2011, King Saud University.
• Moez Benhamed — Study of Maximal Solutions for Incompressible Fluids, 30 June 2011, University of Tunis El Manar.
• Hajer Orf — Some Explosion Criteria for the Incompressible Navier–Stokes Equations, 1 November 2017, University of Gabes.
• Saber Ben Abdallah — Asymptotic Study of the Solutions of the Incompressible Navier–Stokes Equations in 3D in the Spaces Ḣ¹ᐟ² and X⁻¹, 1 November 2017, University of Gabes.
• Chaala Katar — Study of the Navier–Stokes Equations in Sobolev–Gevrey Spaces, 3 December 2018, University of Gabes.
• Abdelfatteh Hamzaoui — Some Explosion Criteria for the System of Incompressible Navier–Stokes, 12 December 2019, University of Gabes.
PUBLICATIONS
1. Ch. Elhechmi, J. Benameur and G. Benhenda, Qualitative analysis and iterative approx-
imation of the Laplace equation with exponential Robin boundary conditions, Electron. J.
Qual. Theory Dier. Equ. 2026, No. 37, 1-21. DOI: https://doi.org/10.14232/ejqtde.2026.1.37
2. M. Blel and J. Benameur, Global well-posedness for a critical nonlocal transport equation
with analytic nonlinearity, Demonstratio Mathematica 2026; 59(1): 20250259,
https://doi.org/10.1515/dema-2025-0259
3. J. Benameur and L. Jlali, Study of modied NavierStokes equations in Fourier spaces,
AIMS Mathematics 2026, Volume 11, Issue 5: 12762-12779. doi: 10.3934/math.2026525
4. J. Benameur and Lot Jlali, Global Solution of the modied critical homogeneous convective
Brinkman-Forchheimer equations, Discrete and Continuous Dynamical Systems - Series S,
in 2025.
5. J. Benameur and Chokri Elhechmi, Iterative Method for Solving 2D Laplace'S Equation
With a Polynomial Boundary Condition, Mathematical Methods in the Applied Sciences,
Volume 48, Issue 12, Pages 11906-11914, in 2025.
6. J. Benameur and Lot Jlali, Long time decay of incompressible convective Brinkman-
Forchheimer in L2(R3), Demonstratio Mathematica, vol. 57, no. 1, 2024, pp. 20240013.
https://doi.org/10.1515/dema-2024-0013
7. J. Benameur and M. Ltifi, Strong solution of modied anistropic 3D-Navier-Stokes equa-
tions, Ricerche mat 74, 16271643 (2025). https://doi.org/10.1007/s11587-024-00864-7
8. J. Benameur and Mongi Blel, Asymptotic study of Leray solution of 3D-Navier-Stokes
equations with exponential damping, Demonstratio Mathematica 56(1), 2023.
9. J. Benameur, Global weak solution of 3D-NSE with exponential damping, Open Mathemat-
ics 20(1), Pages 590-607, DOI: 10.1515/math-2022-0050, 2022.
10. J. Benameur and Chaala Katar, Asymptotic study of supercritical surface Quasi-Geostrophic
equation in critical space, Nonlinear Analysis, Volume 224, 113074, doi.org/10.1016/j.na.2022.113074,
2022.
11. J. Benameur and Mongi Blel, Long Time Decay of Leray Solution of 3D-NSE with Expo-
nential Damping, Fractals 30(10), 2022.
12. J. Benameur and Mustapha Amara, Global solution of anisotropic quasi-geostrophic equa-
tions in Sobolev space, Journal of Mathematical Analysis and Applications, Volume 516, Issue
1, 126512, 2022.
13. J. Benameur Ridha Selmi and Abir Sboui, Analytical Study of a 3D-MHD System with Ex-
ponential Damping, Communications in Mathematics and Applications 13(3):935-942, DOI:
10.26713/cma.v13i3.1826, 2022.
14. J. Benameur and Saber Ben Abdallah, Asymptotic behavior of critical dissipative quasi-
geostrophic equation in Fourier space, Journal of Mathematical Analysis and Applications,
Volume 497, Issue 1, 124873, 2021.
15. J. Benameur and Mariem Bennaceur, Large time behaviour of solutions to the 3D-NSE in
Xσ spaces, Journal of Mathematical Analysis and Applications, Volume 482, Issue 2, 2020.
16. J. Benameur and Ridha Selmi, Study of the Blow Up of the Maximal Solution to the Three-
Dimensional Magnetohydrodynamic System in Lei-Lin-Gevrey Spaces, International Journal
of Analysis and Applications, Volume 18, Number 3, Pages 421-438, 2020.
17. J. Benameur and Lot Jlali, Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces, Math-
ematica Slovaca, 2020.
18. J. Benameur and Hajer Orf, On the blow-up criterion of 3D Navier-Stokes equation in
˙H5/2, Mathematical Methods in the Applied Sciences, Volume 42, Issue 18, Pages 6972-
6986, urn:x-wiley:mma:media:mma5803:mma5803-math-0002, 2019.
19. J. Benameur, Description du défaut de compacité de l'injection de Sobolev sur le groupe
de Heisenberg, Bulletin of Belgian Mathematical- Society Simon Steven, 15, pages 599-624,
2008.
20. J. Benameur, Asymptotic Analysis of MHD Systems, International Journal of Evolution
Equations, volume 4-issue 2, 2010.
21. J. Benameur, On the Blow-up Criterion of 3D Navier-Stokes Equations, Journal of Math-
ematical Analysis and Applications, volume 371 issue 2, pages 719-727, 2010.
22. J. Benameur, On the blow-up criterion of the periodic incompressible uids, Mathematical
Methods in the Applied Sciences 01/2013; 36(2):143-153, 2013.
23. J. Benameur, On the exponential type explosion of Navier-Stokes equations, Nonlinear
Analysis 07/2014, 103:87-97, 2014.
24. J. Benameur, Long time decay to the Lei-Lin solution of 3D Navier-Stokes equations, Jour-
nal of Mathematical Analysis and Applications, Issue 1, Volume 422, Pages 424-434, 2015.
25. J. Benameur and R. Danchin, Limite non visqueuse pour les uides incompressibles ax-
isymetrique, Nonlinear partial dierential equations and their applications. Collège de France
Seminar, Vol. XIV (Paris 1997-1998), pages 29-55, Stud. Math. Appl, 31 North. Holland,
Amsterdam, 2002.
26. J. Benameur, S. Ibrahim and M. Majdoub, Asymptotic Study of a Magneto-Hydro-Dynamic
System, Dierential and Integral Equations, 18, 3, (2004) pages 299-324, 2004.
27. J. Benameur, M. Ghazel and M. Majdoub, About MHD System With Small Parameter,
Asymptotic Analysis 653, pages 1-21, 2005.
28. J. Benameur and R. Selmi, Study of anisotropic MHD system in anisotropic Sobolev spaces,
Annalles Mathématiques de la Faculté des Sciences de Toulouse, Vol. XVII, no 1, pages 1-22,
2008.
29. J. Benameur and M. Ghazel, Convergence of Leray-type Solutions of Inhomogeneous MHD
Systems, Applied Mathematics Research eXpress (2008) Vol. 2008 : article ID abm011, 19
pages, 2008.
30. J. Benameur and R. Selmi, Study of anisotropic MHD system in critical spaces, Memoirs
on Dierential Equations and Mathematical Physics, Volume 44, pages 23-44, 2008.
31. J. Benameur and R. Selmi, Long time behavior of periodic Navier-Stokes Equations in crit-
ical spaces, Proceedings of the 7-th International ISAAC Congress, Imperial College London,
UK, 13-18 July 2009. Edited by M. Ruzhansky and J. Wirth, 2009.
32. J. Benameur and Mongi Blel, Long-Time Decay to the Global Solution of the 2D Dissipative
Quasigeostrophic Equation, Abstract and Applied Analysis Volume 2012 (2012), Article ID
627813, 12 pages http://dx.doi.org/10.1155/2012/627813, 2012.
33. J. Benameur and Mongi Blel, Pollaczek polynomials and hypergeometric representation,
The Ramanujan Journal April 2013, Volume 30, Issue 3, pp 399-402, 2013.
34. J. Benameur and Mongi Blel, Asymptotic study of the 2D-DQGE solutions, Journal of
Function Spaces. 01/2014, 2014.
35. J. Benameur and Ridha Selmi, Time decay and exponential stability of solutions to the
periodic 3D Navier-Stokes equation in critical spaces, Mathematical Methods in the Applied
Sciences 11/2013, 2013.
36. J. Benameur and Ridha Selmi, Long-time decay to the Leray solution of the two dimensional
Navier Stokes equation, Bulletin of the London Mathematical Society, 44(5), 2012.
37. J. Benameur and Lot Jlali, Long time decay for 3D Navier-Stokes equations in Sobolev-
Gevrey spaces, Electron. J. Di. Equ., Vol. 2016 (2016), No. 104, pp. 1-13, 2016.
38. J. Benameur and Lot Jlali, On the Blow-up Criterion of 3D-NSE in Sobolev-Gevrey
Spaces, Journal of Mathematical Fluid Mechanics pp 1-18, 2016.
39. J. Benameur and Moez Benhamed, Global existence of the two-dimensional QGE with sub-
critical dissipation, Journal of Mathematical Analysis and Applications Volume 423, Issue 2,
Pages 1330-1347, 2015.
PREPRINTS
1. J. Benameur and L. Jlali, Study of Modied Navier-Stokes in Fourier space, Preprint 2026.
2. J. Benameur and L. Jlali, Asymptotic study of global solutions for critical NSE with damping
in Fourier spaces, Preprint 2026.
3. J. Benameur, Decay rates for mild solutions of QGE with critical fractional dissipation in
L2(R2), Preprint 2026.
4. J. Benameur and R. Selmi, Mathematical study of anisotropic evolution equations, Preprint
2026.
5. J. Benameur, Smoothing eect of 3D Navier-Stokes equations.
6. J. Benameur, On the blowup criterion of Euler equations.
7. J. Benameur, Some remarks about Fujita-Kato theorem.
8. J. Benameur, Gevrey regularity of the Fujita-Kato solution for incompressible Navier-
Stokes equations.
RESEARCH PROJECT
• Member of the research project “Nonlinear Evolution Equations,” 14-MAT730-02, National Science, Technology and Innovation Plan (NPST), February 2020, Kingdom of Saudi Arabia.
MATHEMATICS COURSE DOCUMENTS
• Sobolev Spaces.
• Patrick Gérard’s theorem on the lack of compactness of the Sobolev embedding.
• Algebra I.
• Ordinary Differential Equations.
• Harmonic Analysis.
• Hilbert Analysis.
BOOKS IN PREPARATION
• Hilbert Analysis.
• Analysis for Aggregation (with Mongi Blel).
• Algebra for Aggregation (with Mongi Blel).
• Introduction to the Study of Evolution Equations (with Mongi Blel).
RESEARCH PROFILES
• Jamel Benameur – Google Scholar.
• Jamel Benameur – ResearchGate.
• ORCID: 0000-0002-6043-9037.
• LinkedIn : Jamel Benameur – Researcher at the Faculty of Sciences, King Saud University.
areas of expertise
Analysis
Algebra
PDE
