The Navier–Stokes–Vlasov–Fokker–Planck System as a Scaling Limit of Particles in a Fluid
The Navier–Stokes–Vlasov–Fokker–Planck System as a Scaling Limit of Particles in a Fluid
Abstract Convergence of a system of particles, interacting with a fluid, to Navier–Stokes–Vlasov–Fokker–Planck system is studied. The interaction between particles and fluid is described by Stokes drag force. The empirical measure of particles is proved to converge to the Vlasov–Fokker–Planck component of the system and the velocity of the fluid …