The Spatially Homogeneous Relativistic Boltzmann Equation with a Hard Potential
The Spatially Homogeneous Relativistic Boltzmann Equation with a Hard Potential
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具有硬势的空间齐次相对论玻尔兹曼方程
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
A. Rendall
中科院分区：
文献类型：
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作者：
Ho Lee;A. Rendall
本文研究了狭义相对论和Robertson-Walker时空中玻尔兹曼方程的空间齐次解。我们得到了相对论情况下Povzner不等式的一个类比，并用它来证明全局存在性定理。我们证明了在Minkowski空间和空间平坦的Robertson-Walker时空中存在一类硬势型碰撞截面的整体解。
In this paper, we study spatially homogeneous solutions of the Boltzmann equation in special relativity and in Robertson-Walker spacetimes. We obtain an analogue of the Povzner inequality in the relativistic case and use it to prove global existence theorems. We show that global solutions exist for a certain class of collision cross sections of the hard potential type in Minkowski space and in spatially flat Robertson-Walker spacetimes.