3 papers
math.AP2026
An intrinsic expansion approach to the Galerkin approximations for the Navier-Stokes equations
Luan Hoang, Michael S. Jolly
We study the Galerkin approximation of the three-dimensional Navier-Stokes equations. In particular, we examine the convergence of these solutions in a sequence of finite dimension…
math.CA2024
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…
math.AP2024
Intrinsic expansions in large Grashof numbers for the steady states of the Navier-Stokes equations
Luan Hoang, Michael S. Jolly
We enable a theory of intrinsic asymptotic expansions for the steady state solutions of the full Navier-Stokes equations. Such a theory was first developed in Foias et al (2024 Com…