10 citations · 10 across the 5 of their papers we have counts for
7 papers
Data Assimilation using Time-Delay Nudging in the Presence of Gaussian Noise
Emine Celik, Eric Olson
We study a discrete-in-time data-assimilation algorithm based on nudging through a time-delayed feedback control in which the observational measurements have been contaminated by a…
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…
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…
Doubly nonlinear parabolic equations for a general class of Forchheimer gas flows in porous media
Emine Celik, Luan Hoang, Thinh Kieu
This paper is focused on the generalized Forchheimer flows of compressible fluids in porous media. The gravity effect and other general nonlinear forms of the source terms and boun…
Maximum estimates for generalized Forchheimer flows in heterogeneous porous media
Emine Celik, Luan Hoang
This article continues our previous study of generalized Forchheimer flows in heterogeneous porous media. Such flows are used to account for deviations from Darcy's law. In heterog…
Generalized Forchheimer flows in heterogeneous porous media
Emine Celik, Luan Hoang
We study the generalized Forchheimer flows of slightly compressible fluids in heterogeneous porous media. The media's porosity and coefficients of the Forchheimer equation are func…
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…