Global Solutions and Exact Energy Dissipation for a Vlasov–Poisson–Lorentz System with Radiation Damping.

René Essono; Daniel Serge Enseignant Eyia Nnanga; Raoul Domingo Ayissi

doi:10.52589/AJMSS-3FLPQ1X8

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Global Solutions and Exact Energy Dissipation for a Vlasov–Poisson–Lorentz System with Radiation Damping.

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African Journal of Mathematics and Statistics Studies

Vol. 9Issue 12026pp. 87–100Published 1 March 2026

DOI 10.52589/AJMSS-3FLPQ1X8

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Abstract:

We study a Vlasov–Poisson system with radiation damping and an external magnetic field on the three–dimensional torus. We establish the global existence of classical and weak solutions, prove the propagation of velocity moments of order greater than three, and derive an exact energy dissipation equality. The analysis shows that the Lorentz force does not affect the dissipation mechanism, and the total energy provides a strict Lyapunov functional for the dynamics.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.