TY - JOUR
T1 - On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains
AU - Brown, Russell M.
AU - Perry, Peter A.
AU - Shen, Zhongwei
PY - 2000
Y1 - 2000
N2 - This paper concerns the two-dimensional Navier-Stokes equations in a Lipschitz domain Ω with nonhomogeneous boundary condition u = φ on ∂Ω. Assuming φ ∈ L∞ (∂Ω), we establish the existence of the universal attractor, and show that its dimension is bounded by c1G + c2Re3/2, where G is the Grashof number and Re the Reynolds number.
AB - This paper concerns the two-dimensional Navier-Stokes equations in a Lipschitz domain Ω with nonhomogeneous boundary condition u = φ on ∂Ω. Assuming φ ∈ L∞ (∂Ω), we establish the existence of the universal attractor, and show that its dimension is bounded by c1G + c2Re3/2, where G is the Grashof number and Re the Reynolds number.
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U2 - 10.1512/iumj.2000.49.1603
DO - 10.1512/iumj.2000.49.1603
M3 - Article
AN - SCOPUS:0013419258
SN - 0022-2518
VL - 49
SP - 81
EP - 112
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
IS - 1
ER -