Abstract
In this paper, we study the large-time behavior of charged particles interacting with the incompressible viscous flow. More precisely, we consider the isothermal/pressureless Euler–Poisson system coupled with the incompressible Navier–Stokes system through the drag force. Under suitable assumptions on the regularity of solutions, we show the fluid velocities are aligned with each other and the fluid density converges to the background state exponentially fast as time tends to infinity.
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