Global attractor for Navier–Stokes equations in cylindrical domains
نویسندگان
چکیده
منابع مشابه
Global Attractor for Navier – Stokes Equations in Cylindrical Domains
Global and regular solutions of the Navier–Stokes system in cylindrical domains have already been obtained under the assumption of smallness of (1) the derivative of the velocity field with respect to the variable along the axis of the cylinder, (2) the derivative of force field with respect to the variable along the axis of the cylinder and (3) the projection of the force field on the axis of ...
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utt + 2ηA 1 2 ut + aut + Au = f(u) in H1 0 (Ω)×L2(Ω), where Ω is a bounded smooth domain in R3. For dissipative nonlinearity f ∈ C2(R,R) satisfying |f ′′(s)| ≤ c(1 + |s|) with some c > 0, we prove that the family of attractors {Aη , η ≥ 0} is upper semicontinuous at η = 0 in H1+s(Ω)×Hs(Ω) for any s ∈ (0, 1). For dissipative f ∈ C3(R,R) satisfying lim|s|→∞ f ′′(s) s = 0 we prove that the attract...
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ژورنال
عنوان ژورنال: Applicationes Mathematicae
سال: 2009
ISSN: 1233-7234,1730-6280
DOI: 10.4064/am36-2-6