## 8 Citations

### Landau damping in relativistic plasmas

- Mathematics
- 2016

We examine the phenomenon of Landau damping in relativistic plasmas via a study of the relativistic Vlasov-Poisson (rVP) system on the torus for initial data sufficiently close to a spatially uniform…

### Long Time Estimates for the Vlasov–Maxwell System in the Non-relativistic Limit

- MathematicsCommunications in Mathematical Physics
- 2018

In this paper, we study the Vlasov–Maxwell system in the non-relativistic limit, that is in the regime where the speed of light is a very large parameter. We consider data lying in the vicinity of…

### Long Time Estimates for the Vlasov–Maxwell System in the Non-relativistic Limit

- MathematicsCommunications in Mathematical Physics
- 2018

In this paper, we study the Vlasov–Maxwell system in the non-relativistic limit, that is in the regime where the speed of light is a very large parameter. We consider data lying in the vicinity of…

### Microscopic Foundations of Kinetic Plasma Theory: The Relativistic Vlasov–Maxwell Equations and Their Radiation-Reaction-Corrected Generalization

- Mathematics
- 2019

It is argued that the relativistic Vlasov–Maxwell equations of the kinetic theory of plasma approximately describe a relativistic system of N charged point particles interacting with the…

### Microscopic Foundations of Kinetic Plasma Theory: The Relativistic Vlasov–Maxwell Equations and Their Radiation-Reaction-Corrected Generalization

- Materials ScienceJournal of Statistical Physics
- 2020

It is argued that the relativistic Vlasov–Maxwell equations of the kinetic theory of plasma approximately describe a relativistic system of N charged point particles interacting with the…

### Concentrating solutions of the relativistic Vlasov–Maxwell system

- MathematicsCommunications in Mathematical Sciences
- 2019

We study smooth, global-in-time solutions of the relativistic Vlasov-Maxwell system that possess arbitrarily large charge densities and electric fields. In particular, we construct spherically…

### Phase space mixing in the equatorial plane of a Kerr black hole

- PhysicsPhysical Review D
- 2018

It is shown that a collisionless, relativistic kinetic gas configuration propagating in the equatorial plane of a Kerr black hole undergoes a relaxation process and eventually settles down to a…

### An introduction to the relativistic kinetic theory on curved spacetimes

- PhysicsGeneral Relativity and Gravitation
- 2022

This article provides a self-contained pedagogical introduction to the relativistic kinetic theory of a dilute gas propagating on a curved spacetime manifold (M, g) of arbitrary dimension. Special…

## References

SHOWING 1-10 OF 26 REFERENCES

### Landau damping in relativistic plasmas

- Mathematics
- 2016

We examine the phenomenon of Landau damping in relativistic plasmas via a study of the relativistic Vlasov-Poisson (rVP) system on the torus for initial data sufficiently close to a spatially uniform…

### On Landau damping

- Mathematics
- 2009

Going beyond the linearized study has been a longstanding problem in the theory of Landau damping. In this paper we establish exponential Landau damping in analytic regularity. The damping phenomenon…

### Longitudinal oscillations in hot isotropic Maxwellian plasmas

- Physics
- 1994

Using the relativistic Vlasov equation and the appropriate Maxwell–Boltzmann–Juttner distribution for the unperturbed plasma thermal equilibrium state, it is demonstrated that the longitudinal…

### On long-time behavior of monocharged and neutral plasma in one and one-half dimensions

- Physics
- 2009

The motion of a collisionless plasma - a high-temperature, low-density, ionized gas - is described by the Vlasov-Maxwell system. In the presence of large velocities, relativistic corrections are…

### Global existence and nonlinear stability for the relativistic Vlasov-Poisson system in the gravitational case

- Mathematics
- 2006

As is well known from the work of R. Glassey and J. Schaeffer, [6], the main energy estimates which are used in global existence results for the gravitational Vlasov-Poisson system do not apply to…

### LANDAU POLES, BRANCH CUTS, AND SUPRA-LUMINOUS WAVES IN A ONE-DIMENSIONAL PLASMA.

- Physics
- 1969

A simple initial value problem is set up for a one-dimensional, mobile, electron plasma coexisting with a positive charged, immobile background. It is solved relativistically, a la Landau, and it is…

### Large time behavior of the relativistic Vlasov Maxwell system in low space dimension

- PhysicsDifferential and Integral Equations
- 2010

When particle speeds are large the motion of a collisionless plasma is modeled by the relativistic Vlasov Maxwell system. Large time behavior of solutions which depend on one position variable and…

### Symmetric plasmas and their decay

- Physics, Mathematics
- 1990

Spherically symmetric global solutions are shown to exist for the relativistic Vlasov-Maxwell system of plasma physics. In view of a conjectured perturbation result concerning in particular “nearly”…

### Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system

- Mathematics
- 2007

R f(x, v)dv, describes the mechanical state of a stellar system subject to its own gravity. Smooth initial data yield unique global in time solutions from a celebrated result by Pfaffelmoser [37].…

### Time decay for solutions to the linearized Vlasov equation

- Mathematics
- 1994

Abstract Time decay for solutions to the initial-value problem for the linearized Vlasov equation is studied. Here Ex = ρ = ∫ gdv and f(v2 ) ≥ 0 is to be sufficiently smooth and strictly decreasing.…