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math.AP2024
Criterion of singularity formation for radial solutions of the pressureless Euler-Poisson equations in exceptional dimension
Olga S. Rozanova
The spatial dimensions 1 and 4 play an exceptional role for radial solutions of the pressureless repulsive Euler-Poisson equations. Namely, for any spatial dimension except 1 and 4…
math.AP2024
Regularizing factors for the Euler-Poisson equations
Olga S. Rozanova
he Cauchy problem for the Euler-Poisson equations without pressure is considered and the question of what additional terms added to the system can delay or completely prevent the l…
math.AP2024
The repulsive Euler-Poisson equations with variable doping profile
Olga S. Rozanova
We prove that arbitrary smooth perturbations of the zero equilibrium state of the repulsive pressureless Euler-Poisson equations, which describe the behavior of cold plasma, blow u…