Monday, March 17, 2025 - 15:30
Abstract or Additional Information
The Nernst-Planck-Navier-Stokes (NPNS) system describes the dynamics of charged particles in fluids under the influence of an external electrical field. The long time dynamics of solutions of NPNS are intricately tied to the choice of boundary conditions, and answers to fundamental questions of stability also depend heavily on this choice. Boundary conditions can be categorized into equilibrium and nonequilibrium configuration; after highlighting some of the structural features of the NPNS system, we describe the main dynamical differences between these two types of configurations and discuss some results where solutions are known to be globally stable.