On plane oscillations of the cold plasma in a constant magnetic field

Abstract

We consider a class of two-dimensional solutions of the cold plasma equations compatible with a constant magnetic field and a constant electric field. For this class, under various assumptions about the electric field, we study the conditions on the initial data that guarantee the global existence of the classical solution of the Cauchy problem for a given period of time or a finite blowup. Particular attention is paid to the class of solutions with axial symmetry.

arXiv comment12 pages, 3 figures

References in corpus (5)

• Rotation Prevents Finite-Time Breakdown
• On the conditions for the breaking of oscillations in a cold plasma
• On the behavior of multidimensional axisymmetric solutions of the repulsive Euler-Poisson equations
• The influence of an external magnetic field on cold plasma oscillations
• On the properties of multidimensional electrostatic oscillations of an electron plasma