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In this paper some results are obtained for a smectic-A liquid crystal model with timedependent boundary Dirichlet data for the so-called layer variable ϕ (the level sets of ϕ describe the layer structure of the smectic-A liquid crystal). First, the initial-boundary problem for arbitrary initial data is considered, obtaining the existence of weak solutions which are bounded up to infinity time. Second, the existence of time-periodic weak solutions is proved. Afterwards, the problem of thedoi:10.3934/cpaa.2010.9.1473 fatcat:wdlnmyx6zbcuje4kgxi43nqt6a