仅含增益项的经典和相对论Boltzmann方程的爆破
On Blowup for Gain-Term-Only classical and relativistic Boltzmann equations
摘要：
我们表明，删除的损失部分的碰撞项在所有物理相关版本的玻尔兹曼方程，包括相对论性的情况下，一般会导致爆破在有限时间的解决方案，从而防止全球存在。我们的结果纠正了文献[12]中的一个错误，在文献[12]中，我们的结果是针对经典硬球情形而宣布的;在这里，我们给出了一个更简单的证明，它适用于更普遍的情形。
英文摘要：
We show that deletion of the loss part of the collision term in all physically relevant versions of the Boltzmann equation, including the relativistic case, will in general lead to blowup in finite time of a solution and hence prevent global existence. Our result corrects an error in the proof given in Ref. [12], where the result was announced for the classical hard sphere case; here we give a simpler proof which applies much more generally.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
