Existence and uniqueness of solutions of Smoluchowski's coagulation equation with source terms
Existence and uniqueness of solutions of Smoluchowski's coagulation equation with source terms
复制标题
Smoluchowski混凝方程含源项解的存在唯一性
DOI：
10.1090/qam/1878265
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发表时间：
2002
影响因子：
0.8
通讯作者：
H. V. Roessel
中科院分区：
文献类型：
--
作者：
M. Shirvani;H. V. Roessel
证明了一类具有源项的Smoluchowski混凝方程解的存在唯一性。带源项的混凝方程在应用中有潜在的用处，因为有时人们试图通过向系统中引入不同大小的颗粒来控制混凝过程。这里给出的存在性证明在形式上与大多数其他存在性证明有两方面的不同。首先，它不是基于凝固方程的有限维截断；其次，它是通过比通常在初始数据上假设的更弱的假设来实现的。
We prove the existence and uniqueness of a solution to the Smoluchowski coagulation equation with source terms. The coagulation equation with source terms is potentially useful in applications because one sometimes tries to control coagulation processes by the introduction of particles of various sizes into the system. The existence proof given here differs in style from most other existence proofs in two respects. First, it is not based on a finite-dimensional truncation of the coagulation equation; and secondly, it is achieved with a weaker hypothesis than is usually assumed on the initial data.
影响因子：
3.4
作者：
Samsel,RW;Perelson,AS
通讯作者：
Perelson,AS