Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 78, pp. 1-21.

Title: Strong solutions to density-dependent incompressible smectic-A liquid crystal equations

Authors: Xue Zhang (Northeastern Univ., Shenyang, China)
         Xiaopeng Zhao (Northeastern Univ., Shenyang, China)

Abstract:
In this article we study a density-dependent hydrodynamic system that models
smectic-A liquid crystal flow. We establish the existence and uniqueness of local
strong solutions provided that the initial density function has a positive lower bound.

Submitted October 3, 2024. Published July 24, 2025.
Math Subject Classifications: 35Q35, 35B40, 35D35, 76W05.
Key Words: Incompressible Smectic-A liquid crystals; local well-posedness; strong solutions.