3 papers
math.AP2021
Studying a doubly nonlinear model of slightly compressible Forchheimer flows in rotating porous media
Emine Celik, Luan Hoang, Thinh Kieu
We study the generalized Forchheimer flows of slightly compressible fluids in rotating porous media. In the problem's model, the varying density in the Coriolis force is fully acco…
math.DS2018
Spectral Filtering of Interpolant Observables for a Discrete-in-time Downscaling Data Assimilation Algorithm
Emine Celik, Eric Olson, Edriss S. Titi
We describe a spectrally-filtered discrete-in-time downscaling data assimilation algorithm and prove, in the context of the two-dimensional Navier--Stokes equations, that this algo…
math.AP2015
Generalized Forchheimer flows of isentropic gases
Emine Celik, Luan Hoang, Thinh Kieu
We consider generalized Forchheimer flows of either isentropic gases or slightly compressible fluids in porous media. By using Muskat's and Ward's general form of the Forchheimer e…