Polynomial propagation of moments and global existence for a Vlasov–Poisson system with a point charge
@article{Desvillettes2013PolynomialPO, title={Polynomial propagation of moments and global existence for a Vlasov–Poisson system with a point charge}, author={Laurent Desvillettes and Evelyne Miot and Chiara Saffirio}, journal={Annales De L Institut Henri Poincare-analyse Non Lineaire}, year={2013}, volume={32}, pages={373-400} }
27 Citations
Global Existence to the Vlasov–Poisson System and Propagation of Moments Without Assumption of Finite Kinetic Energy
- Mathematics
- 2016
We consider classical as well as weak solutions to the three dimensional Vlasov–Poisson system. Without assuming finiteness of kinetic energy, we prove global existence of classical solutions by…
Global Existence to the Vlasov–Poisson System and Propagation of Moments Without Assumption of Finite Kinetic Energy
- MathematicsCommunications in Mathematical Physics
- 2016
We consider classical as well as weak solutions to the three dimensional Vlasov–Poisson system. Without assuming finiteness of kinetic energy, we prove global existence of classical solutions by…
A Vlasov-Poisson plasma of infinite mass with a point charge
- Mathematics
- 2018
We study the time evolution of the three dimensional Vlasov-Poisson plasma interacting with a positive point charge in the case of infinite mass. We prove the existence and uniqueness of the…
Moments propagation for weak solutions of the Vlasov–Poisson system in the three-dimensional torus
- MathematicsJournal of Mathematical Analysis and Applications
- 2019
Stability of a Point Charge for the Vlasov–Poisson System: The Radial Case
- MathematicsCommunications in Mathematical Physics
- 2021
We consider the Vlasov–Poisson system with repulsive interactions. For initial data a small, radial, absolutely continuous perturbation of a point charge, we show that the solution is global and…
Asymptotic growth bounds for the 3‐D Vlasov‐Poisson system with point charges
- Mathematics
- 2018
In this article, we consider the asymptotic behavior of the classical solution to the 3‐dimensional Vlasov‐Poisson plasma interacting repulsively with N point charges. The large time behavior in…
Global weak solutions for the Vlasov–Poisson system with a point charge
- Mathematics
- 2015
We study the dynamics of three‐dimensional Vlasov‐Poisson system in the presence of a point charge with attractive interaction. Compared to the repulsive interaction,we cannot get a priori…
Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge
- Mathematics
- 2020
Abstract We prove that the Debye screening length emerges in an infinitely extended plasma with uniform background described by the nonlinear Vlasov-Poisson equation, interacting with a point charge.…
References
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In this paper we establish global existence and uniqueness of the solution to the three-dimensional Vlasov–Poisson system in the presence of point charges with repulsive interaction. The present…
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where the unknown f(t,x,v)≥0 denotes microscopic density of particles at time t≥0 and position x∈R, moving with velocity v∈R. The self-generated field E(t,x) is the Coulomb field or Newtonian field,…