111 citations · 338 across the 52 of their papers we have counts for
53 papers
A model of a multiphase medium based on the closure of moment chains for the Vlasov-Poisson equations
Olga S. Rozanova
We propose a method for closing moment chains for the Vlasov-Poisson kinetic system (the Landau fluid model), which yields a hyperbolic system of equations at each subsequent step.…
Euler-Poisson equations with velocity-dependent damping
Olga S. Rozanova
We consider repulsive Euler-Poisson equations in both one-dimensional space and in the multidimensional case with radial symmetry, assuming a power-law velocity-dependent damping c…
On plane oscillations of the cold plasma in a constant magnetic field
Olga S. Rozanova
We consider a class of two-dimensional solutions of the cold plasma equations compatible with a constant magnetic field and a constant electric field. For this class, under various…
On the solution of the Kolmogorov-Feller equation arising in the model of biological evolution
Olga S. Rozanova
The Kolmogorov-Feller equation for the probability density of a Markov process on a half-axis, which arises in important problems of biology, is considered. This process consists o…
On non-strictly hyperbolic systems and models of natural sciences reducible to them
Olga Rozanova
We show that many important natural science models in their mathematical formulation can be reduced to non-strictly hyperbolic systems of the same kind. This allows the same method…
Properties of moments of density for nonlocal mean field game equations with a quadratic cost function
Olga S. Rozanova, Mikhail V. Inyakin
We consider mean field game equations with an underlying jump-diffusion process for the case of a quadratic cost function and show that the expectation and variance of …