Research & C.V.
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Research Bio:
Curriculum Vitae
My research interests lie in the area of non-linear partial differential equations and dynamical systems. In particular my research focuses on the Ericksen-Leslie model for nematic liquid crystals. The Ericksen–Leslie model is a nonlinear, coupled system of PDEs describing the hydrodynamics of nematic liquid crystals, combining the incompressible Navier–Stokes equations with a unit-vector field governing molecular orientation. It couples momentum balance with director evolution through elastic stresses and anisotropic viscous effects, yielding a highly non-Newtonian continuum system.
Publications and Preprints:
Weishi Liu, and Majed Sofiani. "Bifurcation and stability of stationary shear flows of Ericksen-Leslie model for nematic liquid crystals." preprint (2025).
Geng Chen, and Majed Sofiani. "Singularity formation for the general Poiseuille flow of nematic liquid crystals." Communications on Applied Mathematics and Computation5.3 (2023): 1130-1147.
Sofiani, Majed. "On parabolic partial differential equations with Hölder continuous diffusion coefficients." Journal of Mathematical Analysis and Applications 526.1 (2023): 127224.
Geng Chen, Weishi Liu, and Majed Sofiani. "The Poiseuille flow of the full Ericksen-Leslie model for nematic liquid crystals: The general Case." Journal of Differential Equations 376 (2023): 538-573.
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