24 citations · 44 across the 19 of their papers we have counts for
12 papers · 1 filter
Sharp Time Decay and Scattering of Small Data Solutions to the Relativistic Vlasov-Maxwell System
Grace Mattingly, Stephen Pankavich, Jonathan Ben-Artzi
A multispecies, collisionless plasma is modeled by the relativistic Vlasov-Maxwell system. Assuming the plasma is globally neutral, we show that solutions can be constructed with a…
Arbitrary Polynomial Decay Rates of Neutral, Collisionless Plasmas
Grace Mattingly, Stephen Pankavich, Jonathan Ben-Artzi
A multispecies, collisionless plasma is modeled by the Vlasov-Poisson system. Assuming the plasma is neutral and the electric field decays with sufficient rapidity as …
Modified Scattering of Solutions to the Relativistic Vlasov-Maxwell System Inside the Light Cone
Stephen Pankavich, Jonathan Ben-Artzi
We consider the relativistic Vlasov-Maxwell system in three dimensions and study the limiting asymptotic behavior as of solutions launched by small, compactly suppor…
Asymptotic Growth and Decay of Two-Dimensional Symmetric Plasmas
Jonathan Ben-Artzi, Baptiste Morisse, Stephen Pankavich
We study the large time behavior of classical solutions to the two-dimensional Vlasov-Poisson (VP) and relativistic Vlasov-Poisson (RVP) systems launched by radially-symmetric init…
A toy model for the relativistic Vlasov-Maxwell system
Jonathan Ben-Artzi, Stephen Pankavich, Junyong Zhang
The global-in-time existence of classical solutions to the relativistic Vlasov-Maxwell (RVM) system in three space dimensions remains elusive after nearly four decades of mathemati…
Global Strichartz estimates for the Dirac equation on symmetric spaces
Jonathan Ben-Artzi, Federico Cacciafesta, Anne-Sophie de Suzzoni +1
In this paper we study global-in-time, weighted Strichartz estimates for the Dirac equation on warped product spaces in dimension . In particular, we prove estimates for th…
Strichartz estimates for the Klein-Gordon equation in a conical singular space
Jonathan Ben-Artzi, Federico Cacciafesta, Anne-Sophie de Suzzoni +1
Consider a conical singular space with the metric , where the cross section is a compact -dimensional closed Riemanni…
Arbitrarily large solutions of the Vlasov-Poisson system
Jonathan Ben-Artzi, Simone Calogero, Stephen Pankavich
We study smooth, global-in-time solutions of the Vlasov-Poisson system in the plasma physical case that possess arbitrarily large charge densities and electric fields. In particula…
Instabilities of the relativistic Vlasov-Maxwell system on unbounded domains
Jonathan Ben-Artzi, Thomas Holding
The relativistic Vlasov-Maxwell system describes the evolution of a collisionless plasma. The problem of linear instability of this system is considered in two physical settings: t…
Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations
Jonathan Ben-Artzi, Daniel Marahrens, Stefan Neukamm
We consider the corrector equation from the stochastic homogenization of uniformly elliptic finite-difference equations with random, possibly non-symmetric coefficients. Under the…
Instabilities in kinetic theory and their relationship to the ergodic theorem
Jonathan Ben-Artzi
A method for obtaining simple criteria for instabilities in kinetic theory is described and outlined, specifically for the relativistic Vlasov-Maxwell system. An important ingredie…
Instability of Nonsymmetric Nonmonotone Equilibria of the Vlasov-Maxwell System
Jonathan Ben-Artzi
We consider the 1/2-dimensional relativistic Vlasov-Maxwell system that describes the time-evolution of a plasma. We find a relatively simple criterion for spectral instability of…