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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 in Time for Rotating Incompressible Viscous Fluids
Luan T. Hoang, Edriss S. Titi
We study the three-dimensional Navier--Stokes equations of rotating incompressible viscous fluids with periodic boundary conditions. The asymptotic expansions, as time goes to infi…
Long-time asymptotic expansions for Navier-Stokes equations with power-decaying forces
Dat Cao, Luan Hoang
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 time…
Asymptotic expansion for solutions of the Navier-Stokes equations with non-potential body forces
Luan T. Hoang, Vincent R. Martinez
We study the long-time behavior of spatially periodic solutions of the Navier-Stokes equations in the three-dimensional space. The body force is assumed to possess an asymptotic ex…