Luisa Plato (TU Berlin): Existence and weak-strong uniqueness of suitable weak solutions to an anisotropic electrokinetic flow model

Zoom Link:
https://uni-kassel.zoom.us/j/96217091997?pwd=RVRaVVBRclFJYU9jczNZSWF3SXI2QT09

Meeting ID: 962 1709 1997
Passcode: cauchy

Abstract:

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.