Mathematics of the USSR-Sbornik · 1986 · 30 citations · 5 references
Natural SciencesMathematicsPhysicsDifferential EquationsElectromagneticsElectromagnetismDissipative SystemsIntegral Equation FormulationsIntegral EquationsMaxwell's EquationsNonlinear DynamicsPartial Differential EquationsDissipative Dynamical SystemsLandau DampingNonlinear DampingNonlinear Landau DampingNonlinear System ModelingVlasov Equation
The one-dimensional system of Vlasov equations linearized at the stationary solution of the nonlinear system is considered. A rigorous theory of Landau damping is presented. A new integral equation with a shift for the electric field is derived in a more general case, and the uniqueness of its solution is proved. A quasiclassical approximation for the linear system of Vlasov equations is obtained.Bibliography: 15 titles.
5
Exact Nonlinear Plasma Oscillations
Ira B. Bernstein, J. M. Greene, Martin D. Kruskal · Physical Review · 1957 · 1.4K citations
Gyrokinetic approach in particle simulation
W. W. Lee · The Physics of Fluids · 1983 · 497 citations
Gyrokinetic particle simulation model
W. W. Lee · Journal of Computational Physics · 1987 · 448 citations