Renormalized Solutions to the Vlasov Equation with Coefficients of Bounded Variation
Renormalized Solutions to the Vlasov Equation with Coefficients of Bounded Variation
复制标题
具有有界变分系数的Vlasov方程的重正化解
DOI：
10.1007/pl00004237
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发表时间：
2001
影响因子：
2.5
通讯作者：
F. Bouchut
中科院分区：
文献类型：
--
作者：
F. Bouchut
摘要：我们证明了具有BV系数的Vlasov方程的弱有界解具有重整化性质，并且我们证明了当重整化性质对一般的输运方程成立时，它也只对Lipschitz非线性成立。
Abstract: We prove that weak bounded solutions to the Vlasov equation with BV coefficients have the renormalization property, and we show that when the renormalization property holds for a general transport equation, it also holds for only Lipschitz nonlinearities.