The Relativistic Vlasov‐Maxwell System in Two Space Dimensions: Part II
The Relativistic Vlasov‐Maxwell System in Two Space Dimensions: Part II
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二维空间中的相对论弗拉索夫-麦克斯韦系统：第二部分
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
Jack Schaeffer
中科院分区：
文献类型：
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作者：
R. Glassey;Jack Schaeffer
摘要。无碰撞等离子体的运动由弗拉索夫-麦克斯韦系统建模。对于平面上的相对论性Vlasov-麦克斯韦系统，在光滑初始条件下，导出了粒子速度的界.在较早的工作中[10]，它表明，解决方案保持光滑，只要粒子的速度不接近光速。当这些结果结合起来，它遵循的解决方案保持光滑的所有时间。
Abstract.The motion of a collisionless plasma is modeled by the Vlasov‐Maxwell system. For the relativistic Vlasov‐Maxwell system in the plane with smooth initial data, bounds on particle speeds are derived. In an earlier work [10] it was shown that solutions remain smooth as long as particle speeds do not approach the speed of light. When these results are combined, it follows that solutions remain smooth for all time.