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arXiv · 2510.22753

Propagation of Velocity Moments for the Magnetized Vlasov-Poisson System with Space-Time Dependent Magnetic Fields

Immanuel Ben Porat·Antoine Gagnebin·Mikaela Iacobelli·Jonathan Junné
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Abstract

We prove that polynomial velocity moments of solutions to the 2D magnetized Vlasov-Poisson system and the 3D magnetized screened Vlasov-Poisson equation remain finite for all times, provided they are finite initially, even when the external magnetic field $B=B(t,x)$ is space-time dependent. We deduce propagation of regularity, thereby implying the existence of global classical solutions. Moreover, we prove optimal stability estimates in the kinetic-Wasserstein distance on par with the unmagnetised case.

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Immanuel Ben Porat, Antoine Gagnebin, Mikaela Iacobelli, Jonathan Junné. 2025-10-26. Propagation of Velocity Moments for the Magnetized Vlasov-Poisson System with Space-Time Dependent Magnetic Fields. https://arxiv.org/abs/2510.22753

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