Global strict solutions to continuous coagulation–fragmentation equations with strong fragmentation

Author:

Banasiak Jacek,Lamb Wilson

Abstract

We give an elementary proof of the unique, global-in-time solvability of the coagulation–(multiple) fragmentation equation with polynomially bounded fragmentation and particle production rates and a bounded coagulation rate. The proof relies on a new result concerning domain invariance for the fragmentation semigroup which is based on a simple monotonicity argument.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 21 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Fragmentation instability in aggregating systems;Physica A: Statistical Mechanics and its Applications;2022-05

2. An application of semigroup theory to the coagulation-fragmentation models;TURKISH JOURNAL OF MATHEMATICS;2021-09-16

3. Uniqueness of solutions to the coagulation–fragmentation equation with singular kernel;Japan Journal of Industrial and Applied Mathematics;2020-03-05

4. Global classical solutions to the continuous coagulation equation with collisional breakage;Zeitschrift für angewandte Mathematik und Physik;2020-02

5. Mass-conserving solutions to coagulation-fragmentation equations with balanced growth;Colloquium Mathematicum;2020

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