3 papers
math-ph2021
Stabilization and blow-up in the relativistic model of cold collisional plasma
Olga S. Rozanova, Eugeniy V. Chizhonkov
We study the influence of the factor of electron-ion collisions on the solution of the Cauchy problem in the one-dimensional relativistic model of cold plasma and show that, depend…
math-ph2020
Exact thresholds in the dynamics of cold plasma with electron-ion collisions
Olga Rozanova, Eugeniy Chizhonkov, Maria Delova
We consider a quasilinear system of hyperbolic equations that describes plane one-dimensional non-relativistic oscillations of electrons in a cold plasma with allowance for electro…
math-ph2019
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…