动能湮灭模型自相似剖面的存在性
偏微分方程分析
2014-10-13 v2
摘要
我们证明了描述概率弹道湮灭的修正 Boltzmann 方程存在自相似解。该模型描述了一个硬球系统，其中每当两个粒子相遇时，它们要么以概率 湮灭，要么以概率 发生弹性碰撞。对于此类模型，粒子数、线性动量和动能均不守恒。我们表明，当 小于某个显式阈值 时，存在自相似解。
引用
@article{arxiv.1209.3379,
title = {Existence of self-similar profile for a kinetic annihilation model},
author = {Véronique Bagland and Bertrand Lods},
journal= {arXiv preprint arXiv:1209.3379},
year = {2014}
}
备注
This new version supersedes and replaces the previous one. We found a mistake in the previous (and published) version of the manuscript and explained how to fix it in "Erratum to "Existence of self-similar profile for a kinetic annihilation model" [J. Differential Equations 254 (7) (2013) 3023-3080]. J. Differential Equations 257 (2014), no. 8, 3071-3074." This version provides a complete and corrected version of the previous manuscript