Mean field limit and quantitative estimates with singular attractive kernels
We prove the mean field limit and quantitative estimates for many-particle systems with
singular attractive interactions between particles. As an important example, a full rigorous …
singular attractive interactions between particles. As an important example, a full rigorous …
On mean-field limits and quantitative estimates with a large class of singular kernels: Application to the Patlak–Keller–Segel model
In this note, we propose a modulated free energy combination of the methods developed by
P.-E. Jabin and Z. Wang [Inventiones (2018)] and by S. Serfaty [Proc. Int. Cong. Math.(2018) …
P.-E. Jabin and Z. Wang [Inventiones (2018)] and by S. Serfaty [Proc. Int. Cong. Math.(2018) …
Global strong solutions of the Vlasov–Poisson–Boltzmann system in bounded domains
When dilute charged particles are confined in a bounded domain, boundary effects are
crucial in the global dynamics. We construct a unique global-in-time solution to the Vlasov …
crucial in the global dynamics. We construct a unique global-in-time solution to the Vlasov …
On hydrodynamic limits of the Vlasov-Navier-Stokes system
D Han-Kwan, D Michel - arXiv preprint arXiv:2103.06668, 2021 - arxiv.org
We introduce a framework to justify hydrodynamic limits of the Vlasov-Navier-Stokes system.
We specifically study high friction regimes, which take into account the fact that particles of …
We specifically study high friction regimes, which take into account the fact that particles of …
Modulated free energy and mean field limit
This is the document corresponding to the talk the first author gave at IHÉS for the Laurent
Schwartz seminar on November 19, 2019. It concerns our recent introduction of a modulated …
Schwartz seminar on November 19, 2019. It concerns our recent introduction of a modulated …
The incompressible Navier-Stokes-Fourier-Maxwell system limits of the Vlasov-Maxwell-Boltzmann system for soft potentials: the noncutoff cases and cutoff cases
We obtain the global-in-time and uniform in Knudsen number $\epsilon $ energy estimate
for the cutoff and non-cutoff scaled Vlasov-Maxwell-Boltzmann system for the soft potential …
for the cutoff and non-cutoff scaled Vlasov-Maxwell-Boltzmann system for the soft potential …
Global Euler–Poisson limit to the Vlasov–Poisson–Boltzmann system with soft potential
F Li, Y Wang - SIAM Journal on Mathematical Analysis, 2023 - SIAM
In this paper, we study the global-in-time compressible Euler–Poisson limit of the Vlasov–
Poisson–Boltzmann (VPB) system with soft potential for the whole range, as the Knudsen …
Poisson–Boltzmann (VPB) system with soft potential for the whole range, as the Knudsen …
From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law: convergence for classical solutions
N Jiang, YL Luo - Annals of PDE, 2022 - Springer
We consider the two-species Vlasov-Maxwell-Boltzmann (VMB) system with the scaling
under which the moments of the fluctuations to the global Maxwellians formally converge to …
under which the moments of the fluctuations to the global Maxwellians formally converge to …
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system
R Duan, D Yang, H Yu - … Models and Methods in Applied Sciences, 2023 - World Scientific
Two fundamental models in plasma physics are given by the Vlasov–Maxwell–Boltzmann
system and the compressible Euler–Maxwell system which both capture the complex …
system and the compressible Euler–Maxwell system which both capture the complex …
Global Hilbert expansion for the relativistic Vlasov–Maxwell–Boltzmann system
Y Guo, Q Xiao - Communications in Mathematical Physics, 2021 - Springer
Abstract Consider the relativistic Vlasov–Maxwell–Boltzmann system describing the
dynamics of an electron gas in the presence of a fixed ion background. Thanks to recent …
dynamics of an electron gas in the presence of a fixed ion background. Thanks to recent …