Showing 2023 · math.APShow all
2 papers · 2 filters
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…