4 papers · 1 filter
A sufficient condition for the existence of smooth solutions of the relativistic cold plasma equations on any given time interval
Olga S. Rozanova, Evgeniy V. Chizhonkov
In terms of initial data, a sufficient condition for the smoothness of the solution to the Cauchy problem for one-dimensional relativistic cold plasma equations over any given time…
On non-uniqueness in the option valuation problem
Ekaterina A. Ladykova, Olga S. Rozanova
It is known that the value of a call option in the case of constant elasticity processes (CEV) with the indicator exceeding the critical is determined in a non-unique way…
The simplest solutions of cold plasma equations: change in properties from a hydrodynamic to a kinetic model
Lidia V. Gargyants, Olga S. Rozanova
We consider the transition from the kinetic model of Landau cold plasma to the hydrodynamic one by constructing a "multi-speed" moment chain in the case of one spatial variable. Cl…
Linearization method and sharp thresholds for spherically symmetric multidimensional pressureless Euler-Poisson equations
Olga S. Rozanova, Marko K. Turzynsky
We show that the question about the criterion of a singularity formation for radially symmetric solutions to the Cauchy problem for a fairly wide class of equations related to the…