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math.AP2026
Global dynamics of Vlasov--wave systems without the null condition under exponential momentum decay
Léo Bigorgne
We prove global existence and modified scattering for solutions to relativistic Vlasov--wave systems without null structure, arising from small distribution functions. When the hom…
math.AP2026
Homeomorphic modified wave operators for the Vlasov-Poisson system
Léo Bigorgne
We prove modified scattering for small data solutions to the Vlasov-Poisson system in a functional framework where the initial data, scattering states, and asymptotic convergence a…