This paper surveys various precise (long-time) asymptotic results for the solutions of the
Navier-Stokes equations with potential forces in bounded domains. It turns out that that the …

This paper establishes the precise asymptotic behaviour, as time t tends to infinity, for
nontrivial, decaying solutions of genuinely nonlinear systems of ordinary differential …

This paper develops further and systematically the asymptotic expansion theory that was
initiated by Foias and Saut in (Ann Inst H Poincaré Anal Non Linéaire, 4 (1): 1–47 1987). We …

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 t tends to infinity …

This paper studies, in fine details, the long-time asymptotic behavior of decaying solutions of
a general class of dissipative systems of nonlinear differential equations in complex …

This paper is focused on the the behavior near the extinction time of solutions of systems of
ordinary differential equations with a sublinear dissipation term. Suppose the dissipation …

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 equations. The …

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 forcing …

We study the long-time dynamics of the Navier–Stokes equations in the three-dimensional
periodic domains with a body force decaying in time. We introduce appropriate systems of …

The Navier-Stokes equations for viscous, incompressible fluids are studied in the three-
dimensional periodic domains, with the body force having an asymptotic expansion, when …