# Stabilization and blowup in the relativistic model of cold collisional plasma

@article{Rozanova2021StabilizationAB, title={Stabilization and blowup in the relativistic model of cold collisional plasma}, author={Olga S. Rozanova and Eugeniy V. Chizhonkov}, journal={Zeitschrift f{\"u}r angewandte Mathematik und Physik}, year={2021} }

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, depending on their intensity and initial data, two scenarios are possible: either the solution remains smooth and stabilizes to a stationary state, or during a finite time the oscillations blowup. In contrast to the nonrelativistic model, when exact conditions can be obtained separating the two behaviors, in a much more… Expand

#### One Citation

The Interplay of Regularizing Factors in the Model of Upper Hybrid Oscillations of Cold Plasma

- Physics, Mathematics
- 2021

A one-dimensional nonlinear model of the so-called upper hybrid oscillations in a magnetoactive plasma is investigated taking into account electron-ion collisions. It is known that both the presence… Expand

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