Speaker
Luisa Plato
Description
In this presentation, we discuss the existence proof of weak solutions in three spatial dimensions to an anisotropic Navier--Stokes--Nernst--Planck--Poisson system that satisfy an energy inequality. This system models the electrokinetic flow generated by charged particles dissolved in a liquid crystal with a constant director field. The existence proof is based on an approximation scheme and the weak sequential compactness of the approximating sequence, which is derived from the energy law. Additionally, weak-strong uniqueness is established using a relative energy inequality.
