Pressureless Euler with nonlocal interactions as a singular limit of degenerate Navier-Stokes system

[摘要] We show that weak solutions of degenerate Navier-Stokes equations converge to the strong solutions of the pressureless Euler system with linear drag term, Newtonian repulsion and quadratic confinement. The proof is based on the relative entropy method using the artificial velocity formulation for the one-dimensional Navier-Stokes system. (C) 2020 Published by Elsevier Inc.

[发布日期] 2020-12-01

[关键词] Compressible Navier-Stokes equations;Pressureless Euler equations;Nonlocal attraction-repulsion;Relative entropy