24 citations · 44 across the 19 of their papers we have counts for
24 papers
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…
On the complexity of the inverse Sturm-Liouville problem
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler
This paper explores the complexity associated with solving the inverse Sturm-Liouville problem with Robin boundary conditions: given a sequence of eigenvalues and a sequence of nor…
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…
Universal algorithms for computing spectra of periodic operators
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler
Schrödinger operators with periodic (possibly complex-valued) potentials and discrete periodic operators (possibly with complex-valued entries) are considered, and in both cases th…
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…
Computing the Sound of the Sea in a Seashell
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler
The question of whether there exists an approximation procedure to compute the resonances of any Helmholtz resonator, regardless of its particular shape, is addressed. A positive a…
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…
Computing Scattering Resonances
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler
The question of whether it is possible to compute scattering resonances of Schrödinger operators - independently of the particular potential - is addressed. A positive answer is gi…
A uniform ergodic theorem for degenerate flows on the annulus
Jonathan Ben-Artzi, Baptiste Morisse
Motivated by the well-known phase-space portrait of the nonlinear pendulum, the purpose of this paper is to obtain convergence rates in the ergodic theorem for flows in the plane t…
Uniform convergence in von Neumann's ergodic theorem in the absence of a spectral gap
Jonathan Ben-Artzi, Baptiste Morisse
Von Neumann's original proof of the ergodic theorem is revisited. A uniform convergence rate is established under the assumption that one can control the density of the spectrum of…
Concentrating solutions of the relativistic Vlasov-Maxwell system
Jonathan Ben-Artzi, Simone Calogero, Stephen Pankavich
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…
Weak Poincaré inequalities in the absence of spectral gaps
Jonathan Ben-Artzi, Amit Einav
For generators of Markov semigroups which lack a spectral gap, it is shown how bounds on the density of states near zero lead to a so-called "weak Poincaré inequality" (WPI), origi…
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…
Computing Spectra -- On the Solvability Complexity Index Hierarchy and Towers of Algorithms
Jonathan Ben-Artzi, Matthew J. Colbrook, Anders C. Hansen +2
This paper establishes some of the fundamental barriers in the theory of computations and finally settles the long-standing computational spectral problem. That is to determine the…
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…
Approximations of strongly continuous families of unbounded self-adjoint operators
Jonathan Ben-Artzi, Thomas Holding
The problem of approximating the discrete spectra of families of self-adjoint operators that are merely strongly continuous is addressed. It is well-known that the spectrum need no…
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…
On the spectrum of shear flows and uniform ergodic theorems
Jonathan Ben-Artzi
The spectra of parallel flows (that is, flows governed by first-order differential operators parallel to one direction) are investigated, on both spaces and weighted- sp…
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…
Instability of Nonmonotone Magnetic Equilibria of the Relativistic Vlasov-Maxwell System
Jonathan Ben-Artzi
We consider the question of linear instability of an equilibrium of the Relativistic Vlasov-Maxwell (RVM) System that has a strong magnetic field. Standard instability results deal…