Climent Ezquerra, María BlancaGuillén González, Francisco Manuel2015-10-192015-10-192014-06Climent Ezquerra, M.B. y Guillén González, F.M. (2014). Convergence to equilibrium for smectic-A liquid crystals in 3D domains without constraints for the viscosity.0362-546Xhttp://hdl.handle.net/11441/29571In this paper, we focus on a smectic-A liquid crystal model in 3D domains, and obtain three main results: the proof of an adequate Lojasiewicz-Simon inequality by using an abstract result; the rigorous proof (via a Galerkin approach) of the existence of global intime weak solutions that become strong (and unique) in long-time; and its convergence to equilibrium of the whole trajectory as time goes to in nity. Given any regular initial data, the existence of a unique global in-time regular solution (bounded up to in nite time) and the convergence to an equilibrium have been previously proved under the constraint of a su ciently high level of viscosity. Here, all results are obtained without imposing said constraint.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Liquid crystalsNavier-Stokes equationsGinzburg-Landau potentialenergy dissipationconvergence to equilibriumLojasiewicz-Simon's inequalitiesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.na.2014.02.014