About

Bashar Khorbatly

Assistant Professor of Mathematics

Bashar Khorbatly is an assistant professor of mathematics in the Department of Computer Science and Mathematics at LAU, where he joined as a full-time faculty member in Spring 2025. He holds a PhD in Mathematics from Université de Tours in France, in collaboration with the Lebanese University in Lebanon.

Dr. Khorbatly initially joined LAU as a postdoctoral researcher before moving to the Department of Mathematics at the University of Bergen in 2022. At Bergen, he was awarded the prestigious MSCA-SEAS Postdoctoral Research Fellowship, funded by the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement.

Research Interests

Dr. Khorbatly’s primary research focus lies in the area of partial differential equations, with a particular interest in the dynamic properties of solutions to asymptotic nonlinear water wave models and nonlinear dispersive partial differential equations in fluid mechanics.

Additionally, Dr. Khorbatly’s research interests are centered around:

  • Mathematical fluid dynamics.
  • Asymptotic nonlinear water wave models (mathematical analysis, mathematical modeling, well-posed problems, solitary waves, mechanical quantities, conservation laws, among others).
  • Behavior of solutions to nonlinear dispersive PDEs (stability analysis, traveling waves, wave breaking, mechanical quantities, particle dynamics).

SDGs Research Mapping

Dr. Bashar Khorbatly conducts research relevant to the following SDGs:

Selected Publications

  1. B. Khorbatly. Improved local existence result of the Green-Naghdi equations with the Coriolis effect. Nonlinear Analysis: Theory, Methods & Applications. (2024), https://doi.org/10.1016/j.na.2023.113438.
  2. B. Khorbatly. The highly nonlinear shallow water equation: Local well-posedness, wave breaking data and non-existence of sech2 solutions. Monatshefte für Mathematik. (2024), https://doi.org/10.1007/s00605-024-01945-3.
  3. S.Israwi, H.Kalisch & B. Khorbatly. Convergence of Mechanical Balance Laws for Water Waves: From KdV to Euler. Nonlinearity. (2024), https://doi.org/10.1088/1361-6544/ad1a47.
  4. B. Khorbatly & H. Kalisch. Rigorous estimates on Mechanical Balance Laws in the Boussinesq-Peregrine equations. Studies in Applied Mathematics; (2024), https://doi.org/10.1111/sapm.12666.
  5. B. Khorbatly. Exact traveling wave solutions of a geophysical Bousssineq system. Nonlinear Analysis: Real World Applications; (2023) https://doi.org/10.1016/j.nonrwa.2023.103832.
  6. B. Khorbatly & S.Israwi. Full justification for the extended Green-Naghdi system for an uneven bottom with/without surface tension. Publications of the Research Institute for Mathematical Sciences; (2023), https://ems.press/journals/prims/articles/12753478.
  7. B. Khorbatly. Long, intermediate and short-term well-posedness of high precision shallow-water models with topography variations. Discrete and Continuous Dynamical Systems Series B; (2023), http://dx.doi.org/10.3934/dcdsb.2022068.
  8. B. Khorbatly. Symmetric waves are traveling waves of some shallow water scalar equations. Mathematical Methods in the Applied Sciences; (2022) https://doi.org/10.1002/mma.8830.
  9. R.Lteif & B. Khorbatly. Medium amplitude model for internal waves over large topography variation. Journal of Mathematical Analysis and Applications; (2022), https://doi.org/10.1016/j.jmaa.2022.126364.
  10. B. Khorbatly. Asymptotic stability of the Degasperis-Procesi antipeakon-peakon profile. Nonlinear Analysis : Real World Applications; (2022), https://doi.org/10.1016/j.nonrwa.2021.103428.
  11. B. Khorbatly, R.Lteif, S.Israwi & S.Gerbi. Mathematical modeling and numerical analysis for the higher-order Boussinesq system. ESAIM: Mathematical Modelling and Numerical Analysis; (2022), https://doi.org/10.1051/m2an/2022015.
  12. B. Khorbatly. A remark on the well-posedness of the classical Green-Naghdi system. Mathematical Methods in the Applied Sciences; (2021), https://doi.org/10.1002/mma.7724.
  13. B. Khorbatly & L.Molinet. On the orbital stability of the Degasperis-Procesi antipeakon-peakon profile. Journal of Differential Equations; (2020), https://doi.org/10.1016/j.jde.2020.03.045.
  14. B. Khorbatly & S.Israwi. A conditional local existence result for the generalized nonlinear Kawahara equation. Mathematical Methods in the Applied Sciences; (2020), https://doi.org/10.1002/mma6292.
  15. B. Khorbatly, I.Zaiter & S.Israwi. Derivation and well-posedness of the extended Green-Naghdi system for flat bottoms with surface tension. Journal of Mathematical Physics; (2018), https://doi.org/10.1063/1.5020601.

Academic Degrees

  • PhD in Mathematics, University of Tours, France, and Lebanese University, Lebanon.
  • MS in Applied Mathematics, Lebanese University, Lebanon.
  • BS in Mathematics, Lebanese University, Lebanon.