Suppression of singularities of solutions of the Euler-Poisson system with density-dependent damping
arXiv:2102.07176 · doi:10.1016/j.physd.2021.133077
Abstract
We find a sharp condition on the density-dependent coefficient of damping of a one-dimensional repulsive Euler-Poisson system, which makes it possible to suppress the formation of singularities in the solution of the Cauchy problem with arbitrary smooth data. In the context of plasma physics, this means the possibility of suppressing the breakdown of arbitrary oscillations of cold plasma.
arXiv comment14 pages, 4 figures