5 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…
On the finite time blow-ups for solutions of nonlinear differential equations
Luan Hoang
We study systems of nonlinear ordinary differential equations where the dominant term, with respect to large spatial variables, causes blow-ups and is positively homogeneous of a d…
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…
Behavior near the extinction time for systems of differential equations with sublinear dissipation terms
Luan Hoang
This paper is focused on the behavior near the extinction time of solutions of systems of ordinary differential equations with a sublinear dissipation term. Suppose the dissipation…
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…