Mathematical Sciences: Analysis of Collisionless Plasmas

这个项目是关于泊松-弗拉索夫的研究 和Maxwell-Vlasov系统，它们模拟了 无碰撞等离子体在其自身的影响下运动 感应电磁场 主要重点将放在 证明整体光滑解的存在性和时间 在模拟太阳风的背景下的渐近性。 的程序 构建多个稳态解决方案将是 进一步分析。 该项目对大气科学有影响， 以及核聚变等能源领域。

This project is concerned with the study of Poisson-Vlasov and Maxwell-Vlasov systems which model the time evolution of a collisionless plasma moving under the influence of its self inducted electromagnetic field. Main emphasis will be placed on proving the existence of global smooth solutions and time asymptotics in the context of modeling solar winds. A procedure for construction of multiple steady state solutions will be further analyzed. This project has implications in atmospheric sciences as well as areas of energy such as nuclear fusion.