Autor: |
Li, Fucai, Sun, Baoyan, Wu, Man |
Předmět: |
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Zdroj: |
Zeitschrift für Angewandte Mathematik und Physik (ZAMP); Aug2023, Vol. 74 Issue 4, p1-31, 31p |
Abstrakt: |
In this paper, we consider a Vlasov–Poisson system in the presence of radiation damping, which is a two-species Vlasov–Poisson system for electrons and ions with additional terms to describe the effect of accelerated charged particles. We obtain the global-in-time and optimal decay estimates of classical solutions to it for small initial data in the whole space R 3 . Compared to the previous results, no compact support assumptions on initial data is needed in our paper. And we obtain the optimal L x ∞ decay estimates of the charge densities and the electrostatic field, which was not reported in previous literature. For the proofs of our results, we adapt the modified vector field method which was introduced initially by Smulevici for the classical Vlasov–Poisson system for electrons. [ABSTRACT FROM AUTHOR] |
Databáze: |
Complementary Index |
Externí odkaz: |
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