Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

Uniform Boundedness and Long-Time Asymptotics for the Two-Dimensional Navier–Stokes Equations in an Infinite Cylinder (CROSBI ID 216366)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Gallay, Thierry ; Slijepčević, Siniša Uniform Boundedness and Long-Time Asymptotics for the Two-Dimensional Navier–Stokes Equations in an Infinite Cylinder // Journal of mathematical fluid mechanics, 17 (2015), 1; 23-46. doi: 10.1007/s00021-014-0188-z

Podaci o odgovornosti

Gallay, Thierry ; Slijepčević, Siniša

engleski

Uniform Boundedness and Long-Time Asymptotics for the Two-Dimensional Navier–Stokes Equations in an Infinite Cylinder

The incompressible Navier–Stokes equations are considered in the two-dimensional strip TeX, with periodic boundary conditions and no exterior forcing. If the initial velocity is bounded, it is shown that the solution remains uniformly bounded for all time, and that the vorticity distribution converges to zero as TeX. This implies, after a transient period, the emergence of a laminar regime in which the solution rapidly converges to a shear flow described by the one-dimensional heat equation in an appropriate Galilean frame. The approach is constructive and provides explicit estimates on the size of the solution and the lifetime of the turbulent period in terms of the initial Reynolds number.

Navier–Stokes equations; global existence; uniform bounds; long-time behavior

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

17 (1)

2015.

23-46

objavljeno

1422-6928

10.1007/s00021-014-0188-z

Povezanost rada

Matematika

Poveznice
Indeksiranost