On the dynamics of charged particles in an incompressible flow: From kinetic-fluid to fluid–fluid models
On the dynamics of charged particles in an incompressible flow: From kinetic-fluid to fluid–fluid models
In this paper, we are interested in the dynamics of charged particles interacting with the incompressible viscous flow. More precisely, we consider the Vlasov–Poisson or Vlasov–Poisson–Fokker–Planck equation coupled with the incompressible Navier–Stokes system through the drag force. For the proposed kinetic-fluid model, we study the asymptotic regime corresponding to strong …