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Ill-Posedness of the Hydrostatic Euler and Singular Vlasov Equations

- Daniel Han-Kwan, T. Nguyen
- Physics, Mathematics
- 7 July 2015

In this paper, we develop an abstract framework to establish ill-posedness, in the sense of Hadamard, for some nonlocal PDEs displaying unbounded unstable spectra. We apply this to prove the… Expand

21 6- PDF

Stability Issues in the Quasineutral Limit of the One-Dimensional Vlasov–Poisson Equation

- Daniel Han-Kwan, M. Hauray
- Mathematics, Physics
- 25 November 2013

This work is concerned with the quasineutral limit of the one-dimensional Vlasov–Poisson equation, for initial data close to stationary homogeneous profiles. Our objective is threefold: first, we… Expand

26 4- PDF

On the controllability of the relativistic Vlasov–Maxwell system

- O. Glass, Daniel Han-Kwan
- Mathematics
- 30 November 2012

In this paper, we study the controllability of the two-dimensional relativistic Vlasov-Maxwell system in a torus, by means of an interior control. We give two types of results. With the geometric… Expand

12 3- PDF

The three-dimensional finite Larmor radius approximation

- Daniel Han-Kwan
- Mathematics, Computer Science
- Asymptot. Anal.
- 13 December 2008

TLDR

23 2- PDF

Quasineutral Limit of the Vlasov-Poisson System with Massless Electrons

- Daniel Han-Kwan
- Physics, Mathematics
- 6 April 2010

In this paper, we study the quasineutral limit (in other words the limit when the Debye length tends to zero) of Vlasov-Poisson like equations describing the behavior of ions in a plasma. We consider… Expand

46 1- PDF

Effect of the polarization drift in a strongly magnetized plasma

- Daniel Han-Kwan
- Physics
- 1 July 2012

We consider a strongly magnetized plasma described by a Vlasov-Poisson system with a large external magnetic field. The finite Larmor radius scaling allows to describe its behaviour at very fine… Expand

13 1- PDF

Quasineutral limit for Vlasov-Poisson via Wasserstein stability estimates in higher dimension

- Daniel Han-Kwan, M. Iacobelli
- Mathematics
- 20 March 2015

This work is concerned with the quasineutral limit of the Vlasov-Poisson system in two and three dimensions. We justify the formal limit for very small but rough perturbations of analytic initial… Expand

18 1- PDF

The quasineutral limit of the Vlasov-Poisson equation in Wasserstein metric

- Daniel Han-Kwan, M. Iacobelli
- Mathematics, Physics
- 12 December 2014

In this work, we study the quasineutral limit of the one-dimensional Vlasov-Poisson equation for ions with massless thermalized electrons. We prove new weak-strong stability estimates in the… Expand

20 1- PDF

Geometric Analysis of the Linear Boltzmann Equation I. Trend to Equilibrium

- Daniel Han-Kwan, Matthieu Léautaud
- Mathematics
- 31 January 2014

This work is devoted to the analysis of the linear Boltzmann equation on the torus, in the presence of a force deriving from a potential. The collision operator is allowed to be degenerate in the… Expand

15 1- PDF

Asymptotic stability of equilibria for screened Vlasov-Poisson systems via pointwise dispersive estimates

- Daniel Han-Kwan, T. Nguyen, F. Rousset
- Mathematics
- 13 June 2019

We revisit the proof of Landau damping near stable homogenous equilibria of Vlasov-Poisson systems with screened interactions in the whole space $\mathbb{R}^d$ (for $d\geq3$) that was first… Expand

8 1- PDF

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