12 citations · 35 across the 12 of their papers we have counts for
13 papers
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…
Long-time behavior of solutions of superlinear systems of differential equations
Luan Hoang
This paper establishes the precise asymptotic behavior, as time tends to infinity, for nontrivial, decaying solutions of genuinely nonlinear systems of ordinary differential eq…
The Navier-Stokes equations with body forces decaying coherently in time
Luan Hoang
The long-time behavior of solutions of the three-dimensional Navier--Stokes equations in a periodic domain is studied. The time-dependent body force decays, as time tends to in…
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…
Asymptotic expansions for the Lagrangian trajectories from solutions of the Navier-Stokes equations
Luan Hoang
Consider any Leray-Hopf weak solution of the three-dimensional Navier-Stokes equations for incompressible, viscous fluid flows. We prove that any Lagrangian trajectory associated w…
Asymptotic expansions with exponential, power, and logarithmic functions for non-autonomous nonlinear differential equations
Dat Cao, Luan Hoang
This paper develops further and systematically the asymptotic expansion theory that was initiated by Foias and Saut in [11]. We study the long-time dynamics of a large class of dis…