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

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