论文标题
相对论弗拉索夫·马克斯韦等血浆的限制稳态
Confined Steady States of a Relativistic Vlasov-Maxwell Plasma in a Long Cylinder
论文作者
论文摘要
无碰撞等离子体的时间演变是通过相对论Vlasov-Maxwell系统建模的，该系统将Vlasov方程（传输方程）与麦克斯韦电动力学方程式结合在一起。在这项工作中，设置为两个和一半的维度，即颗粒物种的分布函数独立于第三空间维度。我们认为血浆位于无限长的圆柱体中，并受外部磁场的影响。我们证明存在固定溶液，并在外部磁场上给出条件，在该磁场下，血浆限制在圆柱体内部，即它远离圆柱体的边界。
The time evolution of a collisionless plasma is modeled by the relativistic Vlasov-Maxwell system which couples the Vlasov equation (the transport equation) with the Maxwell equations of electrodynamics. In this work, the setting is two and one-half dimensional, that is, the distribution functions of the particles species are independent of the third space dimension. We consider the case that the plasma is located in an infinitely long cylinder and is influenced by an external magnetic field. We prove existence of stationary solutions and give conditions on the external magnetic field under which the plasma is confined inside the cylinder, i.e., it stays away from the boundary of the cylinder.
