3 papers
math.AP2025
On compressible fluid flows of Forchheimer-type in rotating heterogeneous porous media
Emine Celik, Luan Hoang, Thinh Kieu
We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of {F}orchheimer-type and is subject to a mixed mass and volumetric flux boun…
math.AP2025
A priori estimates for gaseous flows of Forchheimer-type in heterogeneous porous media
Emine Celik, Luan Hoang, Thinh Kieu
We study isentropic fluid flows of gases of the Forchheimer-type in heterogeneous porous media. The governing equation is a doubly nonlinear parabolic equation with coefficients de…
math.AP2019
Slightly Compressible Forchheimer Flows in Rotating Porous Media
Emine Celik, Luan Hoang, Thinh Kieu
We formulate the the generalized Forchheimer equations for the three-dimensional fluid flows in rotating porous media. By implicitly solving the momentum in terms of the pressure's…