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math.AP2023
The Poiseuille flow of the full Ericksen-Leslie model for nematic liquid crystals: The general Case
Geng Chen, Weishi Liu, Majed Sofiani
In this work, we study the Cauchy problem of Poiseuille flow of the full Ericksen-Leslie model for nematic liquid crystals. The model is a coupled system of two partial differentia…
math.AP2023
On parabolic partial differential equations with Hölder continuous diffusion coefficients
Majed Sofiani
We investigate existence and regularity of weak solutions of a 1-dimensional parabolic differential equation with a non-constant Hölder diffusion coefficient and a rough forcing te…
math.AP2022
Singularity formation for the general Poiseuille flow of nematic liquid crystals
Geng Chen, Majed Sofiani
We consider the Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model. The model is described by a coupled system consisting of a heat equation and a quasil…