Uniqueness of Weak Solutions to an Electrohydrodynamics Model

الملخص EN

This paper studies uniqueness of weak solutions to an electrohydrodynamics model in ℝd (d=2,3).

When d=2, we prove a uniqueness without any condition on the velocity.

For d=3, we prove a weak-strong uniqueness result with a condition on the vorticity in the homogeneous Besov space.