Continuous family of equilibria of the 3D axisymmetric relativistic Vlasov-Maxwell system

We consider the relativistic Vlasov-Maxwell system (RVM) on a general axisymmetric spatial domain with perfect conducting boundary which reflects particles specularly, assuming axisymmetry in the problem. We construct continuous global parametric solution sets for the time-independent RVM. The solutions in these sets have arbitrarily large electromagnetic field and the particle density functions have the form f & PLUSMN; = & mu;& PLUSMN;(e & PLUSMN;(x, v), p & PLUSMN;(x, v)), where e & PLUSMN; and p & PLUSMN; are the particle energy and angular momentum, respectively. In particular, for a certain class of examples, we show that the spectral stability changes as the parameter varies from 0 to & INFIN;.& COPY; 2023 Elsevier Inc. All rights reserved.