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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …