From Mean Field Games To Navier-Stokes Equations
Analysis of PDEs
2022-06-28 v3 Optimization and Control
Abstract
This work establishes the equivalence between Mean Field Game and a class of PDE systems closely related to compressible Navier-Stokes equations. The solvability of the PDE system via the existence of the Nash Equilibrium of the Mean Field Game is provided under a set of conditions.
Keywords
Cite
@article{arxiv.2107.02657,
title = {From Mean Field Games To Navier-Stokes Equations},
author = {Tao Luo and Qingshuo Song},
journal= {arXiv preprint arXiv:2107.02657},
year = {2022}
}
Comments
18 pages