Work

The Navier–Stokes–Vlasov–Fokker–Planck System as a Scaling Limit of Particles in a Fluid

Year: 2021

Type: article

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 coupled with the particles converges in the uniform topology to the the Navier–Stokes component. A new uniqueness result for the PDE system is added.

Source: Journal of Mathematical Fluid Mechanics

DOI: 10.1007/s00021-021-00570-6

Authors: Franco Flandoli, Marta Leocata, Cristiano Ricci

Institutions: Scuola Normale Superiore, Libera Università Internazionale degli Studi Sociali Guido Carli, University of Pisa

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,780

Funder: Scuola Normale Superiore