Bashar Khorbatly's picture

Bashar Khorbatly

Postdoctoral Fellow
  • E-mailBashar.Elkhorbatly@uib.no
  • Visitor Address
    Allégaten 41
    5007 Bergen
  • Postal Address
    Postboks 7803
    5020 Bergen

Modeling, justification and mathematical analysis of models in oceanography are my research fields of interest. My research activity targets mainly the area of partial differential equations, my focus lies on studying dynamic properties of solutions to asymptotic nonlinear water waves models and nonlinear dispersive PDEs arising in fluid mechanics.

Keywords:   • Mathematical fluid dynamics
                  • Asymptotic nonlinear models for water-waves equations (mathematical modeling, well-posedness, solitary waves, conservation laws..)
                     • Behavior of solution of nonlinear dispersive PDEs (stability analysis of peakons, traveling waves, wave breaking, conservation laws..)

  • Show author(s) (2024). The highly nonlinear shallow water equation: local well-posedness, wave breaking data and non-existence of sech <sup>2</sup> solutions. Monatshefte für Mathematik (Print). 635-651.
  • Show author(s) (2024). Improved local existence result of the Green–Naghdi equations with the Coriolis effect. Nonlinear Analysis.
  • Show author(s) (2024). Convergence of mechanical balance laws for water waves: from KdV to Euler. Nonlinearity. 32 pages.
  • Show author(s) (2023). Rigorous estimates on mechanical balance laws in the Boussinesq–Peregrine equations. Studies in applied mathematics (Cambridge).
  • Show author(s) (2023). Exact traveling wave solutions of a geophysical Boussinesq system. Nonlinear Analysis: Real world applications.
  • Show author(s) (2022). Symmetric waves are traveling waves of some shallow water scalar equations. Mathematical Methods in the Applied Sciences. 1-5.

More information in national current research information system (CRIStin)

Research groups