Smoothing effects for classical solutions of the relativistic Landau–Maxwell system
Smoothing effects for classical solutions of the relativistic Landau–Maxwell system
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DOI：
10.1016/j.jde.2009.02.021
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发表时间：
2009-05
影响因子：
2.4
通讯作者：
Hongjun Yu
中科院分区：
文献类型：
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作者：
Hongjun Yu
相对论Landau-Maxwell系统是描述稀热等离子体动力学的最基本和最完整的模型之一，其中粒子通过库仑碰撞和自洽电磁场相互作用。在本文中，我们证明了在电磁场的额外假设下，Strain和Guo得到的经典解关于所有变量立即变得光滑。作为副产品，我们还证明了相对论Landau-Poisson系统和相对论朗道方程的经典解具有相同的性质，而无需任何额外的假设。
The relativistic Landau–Maxwell system is one of the most fundamental and complete models for describing the dynamics of a dilute hot plasma in which particles interact through Coulomb collisions and their self-consistent electromagnetic field. In this work, we prove that the classical solutions obtained by Strain and Guo become immediately smooth with respect to all variable under the extra assumption of the electromagnetic field. As a by-product, we also prove that the classical solutions to the relativistic Landau–Poisson system and the relativistic Landau equation have the same property without any extra assumption.