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This is a Quantitative Study study.

October 13, 2025Open Access

Long-Time Dynamics of the 3D Vlasov-Maxwell System with Boundaries

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Authors

JJJin Woo JangPohang University of Science and Technology CKChanwoo KimUniversity of Wisconsin–Madison

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Implication

This research demonstrates stability in the nonlinear Vlasov-Maxwell system, suggesting new insights for wave-particle interactions in bounded environments.

Key Points

This work shows the global existence of classical solutions for the nonlinear Vlasov-Maxwell system in three dimensions.
Key evidence includes the first demonstration of asymptotic stability under general perturbations, enhancing understanding of this complex system.
The approach combines stationary solution construction with dynamical stability proofs, offering a novel framework for future analysis.
Implications extend to wave-particle interactions in non-vacuum states, emphasizing the influence of boundaries and magnetic fields.

Cite This Study

Jang et al. (2025) studied this question.

synapsesocial.com/papers/68ecfebf950606aabec0934d https://doi.org/10.48550/arxiv.2509.11064

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Implication

This research demonstrates stability in the nonlinear Vlasov-Maxwell system, suggesting new insights for wave-particle interactions in bounded environments.

Long-Time Dynamics of the 3D Vlasov-Maxwell System with Boundaries

Discussion

Member takes

Implication

Key Points

Cite This Study

Long-Time Dynamics of the 3D Vlasov-Maxwell System with Boundaries

Discussion

Member takes

Implication

Key Points

Cite This Study

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