3 papers
math.AP2026
The uniform-in-time electrostatic limit of the linearised Vlasov-Maxwell system: the Poisson equilibrium
Marnie Smith
The Vlasov-Maxwell system with Newtonian particle transport is linearised about the Poisson equilibrium on , with the speed of light treated as a large parameter.…
math.AP2026
The semiclassical limit from Hartree to Vlasov at positive density: strong uniform-in-time convergence and scattering
Marnie Smith
Strong semiclassical convergence from the Hartree equation to the Vlasov equation is established in three dimensions near Penrose-stable homogeneous steady states at positive densi…
math.AP2024
Phase mixing for the Hartree equation and Landau damping in the semiclassical limit
Marnie Smith
The asymptotic behaviour of the Hartree equation is studied near translation-invariant steady states. For short-range interaction kernels satisfying a uniform Penrose stability con…