91 citations · 501 across the 52 of their papers we have counts for
60 papers · 1 filter
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,…
Linear Landau damping for the Vlasov-Maxwell system in
Daniel Han-Kwan, Toan T. Nguyen, Frédéric Rousset
In this work, we consider the relativistic Vlasov-Maxwell system, linearized around a spatially homogeneous equilibrium, set in the whole space .…
Plasmons for the Hartree equations with Coulomb interaction
Toan T. Nguyen, Chanjin You
In this work, we establish the existence and decay of {\em plasmons}, the quantum of Langmuir's oscillatory waves found in plasma physics, for the linearized Hartree equations desc…
Landau damping and survival threshold
Toan T. Nguyen
In this paper, we establish the large time asymptotic behavior of solutions to the linearized Vlasov-Poisson system near general spatially homogenous equilibria w…
The inviscid limit of Navier-Stokes equations for locally near boundary analytic data on an exterior circular domain
Toan T. Nguyen, Trinh T. Nguyen
In their classical work [20], Caflisch and Sammartino established the inviscid limit and boundary layer expansions of vanishing viscosity solutions to the incompressible Navier-Sto…
The inviscid limit for the Navier-Stokes equations in bounded domains
Claude Bardos, Trinh T. Nguyen, Toan T. Nguyen +1
We prove the inviscid limit for the incompressible Navier-Stokes equations for data that are analytic only near the boundary in a general two-dimensional bounded domain. Our proof…
The Vlasov--Poisson--Landau system in the weakly collisional regime
Sanchit Chaturvedi, Jonathan Luk, Toan T. Nguyen
Consider the Vlasov-Poisson-Landau system with Coulomb potential in the weakly collisional regime on a -torus, i.e. $$\begin{aligned} \partial_t F(t,x,v) + v_i \partial_{x_i} F(…
Stability of shear flows near a boundary
Emmanuel Grenier, Toan T. Nguyen
This book is devoted to the study of the linear and nonlinear stability of shear flows and boundary layers for Navier Stokes equations for incompressible fluids with Dirichlet boun…
On the linearized Vlasov-Poisson system on the whole space around stable homogeneous equilibria
Daniel Han-Kwan, Toan T. Nguyen, Frédéric Rousset
We study the linearized Vlasov-Poisson system around suitably stable homogeneous equilibria on (for any ) and establish dispersive $L^\i…
Plasma echoes near stable Penrose data
Emmanuel Grenier, Toan T. Nguyen, Igor Rodnianski
In this paper we construct particular solutions to the classical Vlasov-Poisson system near stable Penrose initial data on that are a combination of…
Landau damping for analytic and Gevrey data
Emmanuel Grenier, Toan T. Nguyen, Igor Rodnianski
In this paper, we give an elementary proof of the nonlinear Landau damping for the Vlasov-Poisson system near Penrose stable equilibria on the torus $\mathbb{T}^d \times \mathbb{R}…
Generator functions and their applications
Emmanuel Grenier, Toan T. Nguyen
In [Grenier-Nguyen], we introduced so called {\em generators} functions to precisely follow the regularity of analytic solutions of Navier Stokes equations. In this short note, we…
Green function for linearized Navier-Stokes around a boundary shear layer profile for long wavelengths
Emmanuel Grenier, Toan T. Nguyen
This paper is the continuation of a program, initiated in Grenier-Nguyen [8,9], to derive pointwise estimates on the Green function of Orr Sommerfeld equations. In this paper we fo…
Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates
Daniel Han-Kwan, Toan T. Nguyen, Frédéric Rousset
We revisit the proof of Landau damping near stable homogenous equilibria of Vlasov-Poisson systems with screened interactions in the whole space (for ) that…
Onsager type conjecture and renormalized solutions for the relativistic Vlasov Maxwell system
Claude Bardos, Nicolas Besse, Toan T. Nguyen
In this paper we give a proof of an Onsager type conjecture on conservation of energy and entropies of weak solutions to the relativistic Vlasov--Maxwell equations. As concerns the…
The inviscid limit of Navier-Stokes equations for vortex-wave data on
Toan T. Nguyen, Trinh T. Nguyen
We establish the inviscid limit of the incompressible Navier-Stokes equations on the whole plane for initial data having vorticity as a superposition of point vortic…
Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method
Emmanuel Grenier, Toan T. Nguyen, Frédéric Rousset +1
We study the large time behavior of solutions to two-dimensional Euler and Navier-Stokes equations linearized about shear flows of the mixing layer type in the unbounded channel $\…
instability of Prandtl layers
Emmanuel Grenier, Toan T. Nguyen
In , Prandtl introduced his famous boundary layer in order to describe the behavior of solutions of incompressible Navier Stokes equations near a boundary as the viscosity go…
Nonlinear stability of source defects in oscillatory media
Margaret Beck, Toan T. Nguyen, Björn Sandstede +1
In this paper, we prove the nonlinear stability under localized perturbations of spectrally stable time-periodic source defects of reaction-diffusion systems. Consisting of a core…