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Uniform attractors of non-autonomous Kirchhoff wave models
The paper investigates the existence and upper semicontinuity of uniform
attractors of the perturbed non-autonomous Kirchhoff wave equations with strong
damping and supercritical nonlinearity: , where is a perturbed parameter. It shows that when the nonlinearity is
of supercritical growth :
(i) the related evolution process has a compact uniform attractor
\mathcal{A}_\ls^\e for each ; (ii) the family of uniform
attractor \mathcal{A}_\ls^\e is upper semicontinuous on the perturbed
parameter in the sense of partially strong topology