Research
Research Interest
- Partial Differential Equations
- Porous medium equations, fluid dynamics
- Navier-Stokes Equations
- Approximate techniques on fractional differential equations
Work in Progress
- On Structural Stability in Heterogeneous Porous Media with Weights, (with Luan Hoang), in preparation.
- The Continuous-in-time Limit of a Discrete-in-time Data Assimilation Method, (with Eric Olson), in preparation.
- On a data assimilation algorithm that uses derivative information of the observations as well as the observations themselves, (with Eric Olson and Beau Smith), in preparation.
- Approximate analytical solutions to porous medium equations (with Yulong Li, Md Nurul Raihen, and Aleksey Telyakovskiy), in preparation.
- On initial value problems with fractional derivative (with Yulong Li, Md Nurul Raihen and Aleksey Telyakovskiy), in preparation.
- Generalized Forchheimer flows in geophysical fluid dynamics, (with Luan Hoang and Thinh Kieu), in preparation.
- On finite degree of freedom for fluids, (with Luan Hoang), in preparation.
Past and Present Collaborators
Sema Bayraktar, Sevket Gur, Luan Hoang, Akif Ibragimov, Thinh Kieu, Yulong Li, Jeff Mortensen, Eric Olson, Md Nurul Raihen, Aleksey Telyakovskiy, Edriss Titi.
Below you will find my resume in English as updated on 30 July, 2024.
İletişim
eminecelik@sakarya.edu.tr0264 295 6093
Sosyal Hesaplar