On the Dimension of the Attractor for the Non-Homogeneous Navier-Stokes Equations in Non-Smooth Domains
نویسندگان
چکیده
This paper concerns the two-dimensional NavierStokes 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 + c2Re, where G is the Grashof number and Re the Reynolds number.
منابع مشابه
On the Dimension of the Attractor for the Non-Homogeneous Navier-Stokes Equations in Non-Smooth Domains
10] Z. Shen, Boundary value problems for parabolic Lam e systems and a nonstation-ary linearized system of Navier-Stokes equations in Lipschitz cylinders, Amer. J.
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