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math.AP2023
Initial-boundary value problems for Poiseuille flow of nematic liquid crystal via full Ericksen-Leslie model
Geng Chen, Yanbo Hu, Qingtian Zhang
In this paper, we study the initial-boundary value problem for the Poiseuille flow of hyperbolic-parabolic Ericksen-Leslie model of nematic liquid crystals in one space dimension.…
math.AP2023
Singularity formation for full Ericksen-Leslie system of nematic liquid crystal flows in dimension two
Geng Chen, Tao Huang, Xiang Xu
In this paper, we prove the singularity formation for Poiseuille laminar flow of full Ericksen-Leslie system modeling nematic liquid crystal flows in dimension two. The singularity…
math.AP2014★ 54 cited
Unique Conservative Solutions to a Variational Wave Equation
Alberto Bressan, Geng Chen, Qingtian Zhang
Relying on the analysis of characteristics, we prove the uniqueness of conservative solutions to the variational wave equation . Given a solution $u(t,x)…