Banasiak J, Lamb W
Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa.
Institute of Mathematics, Łódź University of Technology, Łódź, Poland.
Philos Trans A Math Phys Eng Sci. 2020 Nov 27;378(2185):20190612. doi: 10.1098/rsta.2019.0612. Epub 2020 Oct 19.
In this paper, we prove the global in time solvability of the continuous growth-fragmentation-coagulation equation with unbounded coagulation kernels, in spaces of functions having finite moments of sufficiently high order. The main tool is the recently established result on moment regularization of the linear growth-fragmentation semigroup that allows us to consider coagulation kernels whose growth for large clusters is controlled by how good the regularization is, in a similar manner to the case when the semigroup is analytic. This article is part of the theme issue 'Semigroup applications everywhere'.
在本文中，我们证明了具有无界凝聚核的连续生长 - 破碎 - 凝聚方程在具有足够高阶有限矩的函数空间中的时间全局可解性。主要工具是最近建立的关于线性生长 - 破碎半群矩正则化的结果，这使我们能够考虑大团簇增长由正则化程度控制的凝聚核，其方式类似于半群为解析半群的情况。本文是主题特刊“半群应用无处不在”的一部分。
