论文标题
部分可观测时空混沌系统的无模型预测
Asymptotic localization in multicomponent mass conserving coagulation equations
论文作者
论文摘要
在本文中，我们证明，多组分系统的一大类Smoluchowski凝结方程的时间依赖性解决方案很长时间以群集组成的空间的特定方向集中。浓度方向取决于簇的初始分布。这些结果允许在凝结核的情况下证明自相似曲线具有有限质量的独特性和全局稳定性，而凝结核并非恒定，但沿着群集组成空间的任何方向是恒定的。
In this paper we prove that the time dependent solutions of a large class of Smoluchowski coagulation equations for multicomponent systems concentrate along a particular direction of the space of cluster compositions for long times. The direction of concentration is determined by the initial distribution of clusters. These results allow to prove the uniqueness and global stability of the self-similar profile with finite mass in the case of coagulation kernels which are not identically constant, but are constant along any direction of the space of cluster compositions.
