Assist. Prof. Dr. Lotfi Jlali | Mathematics | Best Researcher Award

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Assist. Prof. Dr. Lotfi Jlali | Mathematics | Best Researcher Award

Imam Mohammad Ibn Saud Islamic University | Tunisia

Dr. Lotfi Mohamed Alhosine Jlali is an accomplished Tunisian mathematician and Assistant Professor at Imam Mohammad Ibn Saud Islamic University, Saudi Arabia. His research primarily focuses on Partial Differential Equations (PDEs) and Nonlinear Analysis, with particular expertise in the mathematical modeling of fluid dynamics, including the Navier–Stokes, Euler, and Magnetohydrodynamic (MHD) systems. Dr. Jlali’s work delves into the local and global existence, uniqueness, and regularity of solutions for incompressible fluid equations, as well as the asymptotic behavior of problems influenced by small or large parameters, such as rotating and anisotropic fluid systems. His studies also address the blow-up criteria for non-regular solutions and the stability of global solutions, applying advanced mathematical tools like Strichartz inequalities, energy estimates, and Sobolev embeddings. Dr. Jlali has made significant contributions to understanding the long-term dynamics of fluid equations, particularly in Sobolev–Gevrey and Fourier–Lei–Lin spaces. His research output includes 13 indexed publications with 51 citations in Scopus (h-index: 4) and 85 citations on Google Scholar (h-index: 5, i10-index: 3), reflecting the growing impact of his work in mathematical fluid mechanics.

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Scopus | ORCID | Google Scholar

Featured Publications:

Benameur, J., & Jlali, L. (2016). Long time decay for 3D Navier-Stokes equations in Sobolev-Gevrey spaces. Electronic Journal of Differential Equations.

Benameur, J., & Jlali, L. (2016). On the blow-up criterion of 3D-NSE in Sobolev–Gevrey spaces. Journal of Mathematical Fluid Mechanics.

Jlali, L. (2017). Global well posedness of 3D-NSE in Fourier–Lei–Lin spaces. Mathematical Methods in the Applied Sciences.

Benameur, J., & Jlali, L. (2020). Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces. Mathematica Slovaca.

Jlali, L., & Benameur, J. (2024). Long time decay of incompressible convective Brinkman-Forchheimer in L2(R3). Demonstratio Mathematica.

Dr. Jan Muhammad | Mathematics | Best Researcher Award

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Dr. Jan Muhammad | Mathematics | Best Researcher Award

Shanghai University | China

Dr. Jan Muhammad is a distinguished mathematician and postdoctoral researcher specializing in nonlinear partial differential equations (PDEs), soliton theory, and mathematical physics. His research primarily focuses on analytical and semi-analytical approaches for exploring nonlinear dynamical systems, fractional calculus, and optical wave propagation in applied mathematics and engineering contexts. With over 50 peer-reviewed publications in prestigious international journals, Dr. Muhammad has significantly contributed to advancing the theoretical and applied aspects of nonlinear PDEs and fractional models. His studies often explore the mathematical structures governing complex fluid mechanics, magnetohydrodynamics, and fractional optical systems, offering new insights into the behavior of nonlinear waves, stability, and multistability phenomena. His scholarly impact is reflected by 294 Scopus citations across 149 documents with an h-index of 11, showcasing the depth and reach of his contributions. His work is also widely recognized on Google Scholar, emphasizing his growing influence within the global mathematical community. Dr. Muhammad’s ongoing research bridges mathematical theory with real-world physical systems, demonstrating excellence in mathematical modeling, analytical methods, and interdisciplinary applications.

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Scopus

Featured Publications

Muhammad, J., Fang, L., & Guo, Z. (2020). Global weak solutions to a class of compressible non-Newtonian fluids with vacuum. Mathematical Methods in the Applied Sciences, 43, 5234–5249.

Zhu, H., Fang, L., Muhammad, J., & Guo, Z. (2020). Global weak solutions to a Vlasov–Fokker–Planck/compressible non-Newtonian fluid system of equations. ZAMM, 100, e201900091.

Muhammad, J., Ali, Q., & Younas, U. (2024). Three component coupled fractional nonlinear Schrödinger equations: Diversity of exact optical solitonic structures. Modern Physics Letters B, 2450373.

Muhammad, J. (2024). On the global existence for a class of compressible non-Newtonian fluids with inhomogeneous boundary data. Russian Journal of Mathematical Physics, 31, 276–298.

Muhammad, J., Younas, U., & Nasreen, N. (2024). Multicomponent nonlinear fractional Schrödinger equation: Optical wave propagation in fiber optics. Partial Differential Equations in Applied Mathematics, 100805.

Karima BENALI | Mathematics | Best Researcher Award

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Dr. Karima BENALI | Mathematics | Best Researcher Award

PHD Diploma, University of Sfax, Tunisia

👩‍🔬 Dr. Karima Benali, a dedicated academic, holds a Ph.D. in Fundamental Mathematics. With two years of teaching experience at the Institut Supérieur de Biotechnologie de Sfax, she is passionate about education and guiding her students to overcome challenges and achieve their full potential.

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Scopus

 

Education

🎓 Dr. Benali has an extensive educational background, including specialized training in English communication, project engineering, Python programming, and SPSS software. She completed her Ph.D. in Fundamental Mathematics at the Faculty of Sciences of Sfax, where she also received various other training and certifications.

Experience

👩‍🏫 Dr. Benali has taught at the Faculty of Sciences of Sfax and the Institut Supérieur de Biotechnologie de Sfax. Her roles included supervising directed works for courses in Analysis, Algebra, Biostatistics, Probability, and Statistics across multiple undergraduate programs. She has a strong commitment to enhancing students’ academic experiences through interactive and engaging teaching methods.

Research Interests

🔬 Dr. Benali’s research interests lie in the fields of algebra, particularly Hom-Lie algebras and Bihom-Lie algebras. She has presented her research at numerous international conferences and has published several influential papers in these areas.

Awards

🏆 Dr. Benali has been recognized for her contributions to mathematics with multiple awards and certificates of participation in prestigious conferences, including the Tunisio-Japanese conference, the Algebra and Lie Theory conference in France, and the Euro-Maghreb conference.

Publications

“Bialgebras, the Yang-Baxter equation and Manin triples for mock-Lie algebras”
“Representations of simple Hom-Lie algebras”
“Bialgebras via Manin triples of compatible mock-Lie algebras”