Modified Scattering of Solutions to the Relativistic Vlasov-Maxwell System Inside the Light Cone

S Pankavich, J Ben-Artzi - arXiv preprint arXiv:2306.11725, 2023 - arxiv.org
We consider the relativistic Vlasov-Maxwell system in three dimensions and study the
limiting asymptotic behavior as $ t\to\infty $ of solutions launched by small, compactly …

Asymptotic dynamics of dispersive, collisionless plasmas

S Pankavich - Communications in Mathematical Physics, 2022 - Springer
A multispecies, collisionless plasma is modeled by the Vlasov–Poisson system. Assuming
that the electric field decays with sufficient rapidity as t→∞, we show that the velocity …

Exact large time behavior of spherically symmetric plasmas

S Pankavich - SIAM Journal on Mathematical Analysis, 2021 - SIAM
We consider the classical and relativistic Vlasov--Poisson systems with spherically
symmetric initial data and prove the optimal decay rates for all suitable L^p norms of the …

Scattering and Asymptotic Behavior of Solutions to the Vlasov–Poisson System in High Dimension

S Pankavich - SIAM Journal on Mathematical Analysis, 2023 - SIAM
We consider the repulsive Vlasov–Poisson system in dimension. A condition on the decay
rate of the associated electric field is presented that guarantees the scattering and …

Arbitrarily large solutions of the Vlasov--Poisson system

J Ben-Artzi, S Calogero, S Pankavich - SIAM Journal on Mathematical Analysis, 2018 - SIAM
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 particular …

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

R Glassey, S Pankavich, J Schaeffer - 2010 - projecteuclid.org
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 …

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

R Glassey, S Pankavich, J Schaeffer - arXiv preprint arXiv:0912.5252, 2009 - arxiv.org
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 …

Asymptotic growth and decay of two-dimensional symmetric plasmas

J Ben-Artzi, B Morisse, S Pankavich - arXiv preprint arXiv:2202.03717, 2022 - arxiv.org
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 …

Concentrating solutions of the relativistic Vlasov-Maxwell system

J Ben-Artzi, S Calogero, S Pankavich - arXiv preprint arXiv:1807.02801, 2018 - arxiv.org
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 …

Asymptotic growth bounds for the Vlasov-Poisson system with radiation damping

Y Ma, X Zhang - Acta Mathematica Scientia, 2022 - Springer
We consider asymptotic behaviors of the Vlasov-Poisson system with radiation damping in
three space dimensions. For any smooth solution with compact support, we prove a sub …