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Asymptotic growth bounds for the Vlasov-Poisson system with radiation damping

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We consider asymptotic behaviors of the Vlasov-Poisson system with radiation damping in three space dimensions. For any smooth solution with compact support, we prove a sub-linear growth estimate of its… Click to show full abstract

We consider asymptotic behaviors of the Vlasov-Poisson system with radiation damping in three space dimensions. For any smooth solution with compact support, we prove a sub-linear growth estimate of its velocity support. As a consequence, we derive some new estimates of the charge densities and the electrostatic field in this situation.

Keywords: vlasov poisson; system radiation; poisson system; radiation damping

Journal Title: Acta Mathematica Scientia
Year Published: 2021

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