Dr. May ABDALLAH is a part-time lecturer at Rafik Hariri University, College of Arts and Sciences. She obtained a Ph.D. in applied mathematics in December 2023 from Laboratory of mathematics-EDST, Lebanese University-Lebanon, en-cotutelle with Institute Denis Poisson, University of Tours, France. Right after defending her thesis, she started teaching different courses in MATH at Rafik Hariri University-Lebanon (2024 till present). The courses taught cover a range of topics, including: Numerical Analysis, Linear Algebra, Discrete Mathematics, Calculus II, Calculus I, and College Algebra. 

Her main research interests are in partial differential equations, in particular in well-posedness problems of dispersive and dispersive-dissipative models between the Korteweg-deVries and Benjamin-Ono equations. Her research also covers uniqueness, orbital and asymptotic stability of slow and fast solitary wave solutions to the Benjamin equation, as well as the long-time asymptotic behavior of N-Solitons of the Benjamin equation. Dr. ABDALLAH has publications in Springer Nature; Monatshefte für Mathematik,   and Journal of Dynamics and Differential Equations, and another submitted article.

EDUCATION

• PhD in applied mathematics from University of Tours-France and Lebanese University-Lebanon, 2021-2023.
• Research Masters in Partial differential equations and Numerical Analysis from Faculty of sciences, Lebanese University, Lebanon, 2020.
• BSc in pure mathematics from the Lebanese University, Faculty of Science (Branch I), Lebanon, 2018.

 PROFESSIONAL INTERESTS

• Dispersive-dissipative differential equations
• Korteweg-deVries and Benjamin-Ono equations.
• Well-posedness problems
• Solitary wave solutions
• Orbital and Asymptotic Stability

REFEREED PUBLICATIONS

• Abdallah, May. "On the well-posedness of dispersive–dissipative one-dimensional equations with non-decaying initial data." Monatshefte für Mathematik203, no. 2 (2024): 267-311. https://doi.org/10.1007/s00605-023-01893-4

• Abdallah, May, Mohamad Darwich, and Luc Molinet. "On the Uniqueness and Orbital Stability of Slow and Fast Solitary Wave Solutions of the Benjamin Equation." arXiv preprint arXiv:2404.04711(2024). https://doi.org/10.48550/arXiv.2404.04711
• Abdallah, May, Mohamad Darwich, and Luc Molinet. "Asymptotic stability of fast solitary waves to the Benjamin Equation." Journal of Dynamics and Differential Equations(2025): 1-40. https://doi.org/10.1007/s10884-025-10461-3