The zero inertia limit of Ericksen-Leslie's model for liquid crystals
arXiv:1905.04745 · doi:10.1016/j.jfa.2021.109280
Abstract
In this paper we study the zero inertia limit that is from the hyperbolic to parabolic Ericksen-Leslie's liquid crystal flow. By introducing an initial layer and constructing an energy norm and energy dissipation functional depending on the solutions of the limiting system, we derive a global in time uniform energy bound to the remainder system under the small size of the initial data.
56 pages; all coments wellcome !