91 citations · 501 across the 52 of their papers we have counts for
64 papers
Regular Lenard-Balescu equations in a Periodic Box
Junhwa Jung, Toan T. Nguyen
The Lenard-Balescu equation is a collisional kinetic model widely used in plasma physics as a Bogoliubov correction to the meanfield Vlasov theory. Unlike the classical Landau and…
Asymptotic Stability of Hartree--Fock Homogenous Equilibria in
Toan T. Nguyen, Chanjin You
In this paper, we establish nonlinear Landau damping and asymptotic stability of a large class of translation-invariant steady solutions to the time-dependent Hartree--Fock equatio…
Remarks on Landau damping
Toan T. Nguyen
We provide few remarks on nonlinear Landau damping that concerns decay of the electric field in the classical Vlasov-Poisson system near spatially homogenous equilibria. In particu…
Landau damping below survival threshold
Toan T. Nguyen
In this paper, we establish nonlinear Landau damping below survival threshold for collisionless charged particles following the meanfield Vlasov theory near general radial equilibr…
A new framework for particle-wave interaction
Toan T. Nguyen
In plasma physics, collisionless charged particles are transported following the dynamics of a meanfield Vlasov equation with a self-consistent electric field generated by the char…
Modified scattering for long-range Hartree equations of infinite rank near vacuum
Toan T. Nguyen, Chanjin You
We establish the asymptotic behavior and decay of solutions near vacuum to the Hartree equation with the Coulomb interaction potential in three dimensions. Our approach is direct,…