From Mean Field Games To Navier-Stokes Equations

Published 6 Jul 2021 in math.AP and math.OC | (2107.02657v3)

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.

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