111 citations · 145 across the 14 of their papers we have counts for
4 papers · 1 filter
On the conditions for the breaking of oscillations in a cold plasma
Olga S. Rozanova, Eugeniy V. Chizhonkov
The Cauchy problem for a quasilinear system of hyperbolic equations describing plane one-dimensional relativistic oscillations of electrons in a cold plasma is considered. For some…
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…
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,…
The stability of vortices in gas on the -plane: the influence of centrifugal force
Olga Rozanova, Marko Turzynsky
We show that a small correction due to centrifugal force usually neglected in the -plane model of atmosphere drastically influences on the stability of vortices. Namely, in the…