Nonlinear Landau Dam** for the Vlasov–Poisson System in : The Poisson Equilibrium

AD Ionescu, B Pausader, X Wang, K Widmayer - Annals of PDE, 2024 - Springer
We prove asymptotic stability of the Poisson homogeneous equilibrium among solutions of
the Vlasov–Poisson system in the Euclidean space R 3. More precisely, we show that small …

The Vlasov–Poisson–Landau system in the weakly collisional regime

S Chaturvedi, J Luk, T Nguyen - Journal of the American Mathematical …, 2023 - ams.org
Consider the Vlasov–Poisson–Landau system with Coulomb potential in the weakly
collisional regime on a $3 $-torus, ie\begin {align*}\partial _t F (t, x, v)+ v_i\partial _ {x_i} F (t …

On the stability of homogeneous equilibria in the Vlasov–Poisson system on

AD Ionescu, B Pausader, X Wang… - Classical and Quantum …, 2023 - iopscience.iop.org
On the stability of homogeneous equilibria in the Vlasov–Poisson system on - IOPscience Skip
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Linearized Wave-Dam** Structure of Vlasov--Poisson in

J Bedrossian, N Masmoudi, C Mouhot - SIAM Journal on Mathematical …, 2022 - SIAM
In this paper we study the linearized Vlasov--Poisson equation for localized disturbances of
an infinite, homogeneous Maxwellian background distribution in R^3_x*R^3_v. In contrast to …

Plasmons for the Hartree equations with Coulomb interaction

TT Nguyen, C You - ar** versus oscillations for a gravitational Vlasov-Poisson system
M Hadzic, G Rein, M Schrecker, C Straub - ar** on the torus for the Vlasov-Poisson system with massless electrons
A Gagnebin, M Iacobelli - Journal of Differential Equations, 2023 - Elsevier
This paper studies the nonlinear Landau dam** on the torus T d for the Vlasov-Poisson
system with massless electrons (VPME). We consider solutions with analytic or Gevrey (γ> …

Nonlinear Landau dam** and wave operators in sharp Gevrey spaces

AD Ionescu, B Pausader, X Wang… - ar** in optimal weighted Gevrey-3 spaces for solutions of
the confined Vlasov-Poisson system on $\T^ d\times\R^ d $ which are small perturbations of …

Landau dam** and survival threshold

TT Nguyen - arxiv preprint arxiv:2305.08672, 2023 - arxiv.org
In this paper, we establish the large time asymptotic behavior of solutions to the linearized
Vlasov-Poisson system near general spatially homogenous equilibria $\mu (\frac12| v|^ 2) …

Stability of a point charge for the repulsive Vlasov–Poisson system

B Pausader, K Widmayer, J Yang - Journal of the European …, 2024 - ems.press
Stability of a point charge for the repulsive Vlasov–Poisson system Page 1 © 2024 European
Mathematical Society Published by EMS Press J. Eur. Math. Soc. (Online first) DOI …