The zero inertia limit of Ericksen-Leslie's model for liquid crystals

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.

arXiv comment56 pages; all coments wellcome !

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Cited by in corpus (2)

• Small data global regularity for simplified 3-D Ericksen-Leslie's compressible hyperbolic liquid crystal model
• Incompressible limit of the Ericksen-Leslie hyperbolic liquid crystal model in compressible flow