Steady-state solutions of the Vlasov-Maxwell system and their stability
The study of the Vlasov-Maxwell system is reduced to nonlinear elliptic equations in the stationary case and hyperbolic equations in the nonstationary case. On this basis, theorems on the existence of solutions and sufficient conditions of Lyapunov stability are obtained. The cases are considered when electromagnetic fields and distribution functions can be constructed in an implicit form.
scientific article; zbMATH DE number 95387
scientific article