Blow-up criteria of smooth solutions to a 3D model of electro-kinetic fluids in a bounded domain

Abstract

We prove that a smooth solution of a 3D model for electro-kinetic fluids in a bounded domain breaks down blows up at the same time as certain norm of vorticity. This norm is weaker than bmo-norm.

Keywords

• Euler system
• regularity criterion
• bounded domain
• bmo