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math.AP2019
Some analytically solvable problems of the mean-field games theory
Sergey I. Nikulin, Olga S. Rozanova
We study the mean field games equations, consisting of the coupled Kolmogorov-Fokker-Planck and Hamilton-Jacobi-Bellman equations. The equations are complemented by initial and ter…
math.AP2019
The solution of the Cauchy problem for the two-dimensional transport equation on a rotating plane
Olga Rozanova, Olga Uspenskaya
The limiting case of the system of equations of two-dimensional gas dynamics in the presence of the Coriolis force, which can be obtained under the assumption of a small pressure,…