10 citations · 31 across the 18 of their papers we have counts for
4 papers · 1 filter
A new form of asymptotic expansion for non-smooth differential equations with time-decaying forcing functions
Luan Hoang
This article is focused on the asymptotic expansions, as time tends to infinity, of solutions of a system of ordinary differential equations with non-smooth nonlinear terms. The fo…
On Galerkin approximations of the Navier-Stokes equations in the limit of large Grashof numbers
Ciprian Foias, Luan Hoang, Michael S. Jolly
We examine how stationary solutions to Galerkin approximations of the Navier--Stokes equations behave in the limit as the Grashof number tends to . An appropriate scali…
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…
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…