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math.AP2025
The non-relativistic limit of scattering states for the Vlasov equation with short-range interaction potentials
Younghun Hong, Stephen Pankavich
We study the relativistic and non-relativistic Vlasov equation driven by short-range interaction potentials and identify the large time dynamics of solutions. In particular, we con…
math.AP2025
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 …