标题： 相对论Vlasov-Maxwell系统的新的延续准则 显示英文标题

标题： A new continuation criterion for the relativistic Vlasov-Maxwell system

摘要： 相对论Vlasov-Maxwell系统的解的全局存在性，给定足够规则的有限能量初始数据，是一个长期未解决的问题。 Glassey-Strauss（1986）的主要结果表明，只要$f$的动量支撑保持有界，解$(f, E, B)$就会保持$C^1$。 后来Bouchut-Golse-Pallard（2003）和Klainerman-Staffilani（2002）给出了其他证明。 我们证明，只需在任意二维平面上投影后，$f$的动量支撑保持有界，就可以使$(f, E, B)$保持$C^1$。 显示英文摘要

摘要： The global existence of solutions to the relativistic Vlasov-Maxwell system given sufficiently regular finite energy initial data is a longstanding open problem. The main result of Glassey-Strauss (1986) shows that a solution $(f, E, B)$ remains $C^1$ as long as the momentum support of $f$ remains bounded. Alternate proofs were later given by Bouchut-Golse-Pallard (2003) and Klainerman-Staffilani (2002). We show that only the boundedness of the momentum support of $f$ after projecting to any two dimensional plane is needed for $(f, E, B)$ to remain $C^1$.