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math.AP2026
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.AP2024
Anisotropic flows of Forchheimer-type in porous media and their steady states
Luan Hoang, Thinh Kieu
We study the anisotropic Forchheimer-typed flows for compressible fluids in porous media. The first half of the paper is devoted to understanding the nonlinear structure of the ani…