10 citations · 32 across the 16 of their papers we have counts for
20 papers
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…
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…
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…
A Mixed Finite Element Approximation for Fluid Flows of Mixed Regimes in Porous Media
John Cummings, Matthew Hamilton, Thinh Kieu
In this paper, we consider the complex flows when all three regimes pre-Darcy, Darcy and post-Darcy may be present in different portions of a same domain. We unify all three flow r…
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…
Infinite series asymptotic expansions for decaying solutions of dissipative differential equations with non-smooth nonlinearity
Dat Cao, Luan Hoang, Thinh Kieu
We study the precise asymptotic behavior of a non-trivial solution that converges to zero, as time tends to infinity, of dissipative systems of nonlinear ordinary differential equa…