科研之友
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摘要
We consider asymptotic behaviors of classical solutions and weak solutions to the three-dimensional Vlasov-Poisson system in the plasma physics case. For a smooth solution with compactly supported initial datum, its velocity support is shown to grow like (t + 1)(2/15) ln (8/15)(t + 2). For a weak solution with bounded initial velocity-spatial moments or spatial moments of order > 2, we establish some decay results for its high velocity-spatial moments.
