Backward problem for the 1D ionic Vlasov-Poisson equation
Antoine Gagnebin
TL;DR
This paper investigates the backward problem for the 1D ionic Vlasov-Poisson system with massless electrons, demonstrating Landau damping by analyzing the asymptotic behavior of solutions.
Contribution
It introduces a novel approach to solving the backward problem for the 1D ionic Vlasov-Poisson system and establishes Landau damping in this context.
Findings
Demonstrates Landau damping in the 1D ionic Vlasov-Poisson system.
Fixes the asymptotic behavior of solutions to analyze the backward problem.
Provides new insights into the stability of plasma models.
Abstract
In this paper, we study the backward problem for the one-dimensional Vlasov-Poisson system with massless electrons, and we show the Landau damping by fixing the asymptotic behaviour of our solution.
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Taxonomy
TopicsGas Dynamics and Kinetic Theory · Spectral Theory in Mathematical Physics · Advanced Mathematical Physics Problems