The continuous Redner-Ben-Avraham-Kahng coagulation system: Well-posedness and asymptotic behaviour

IF 1.3 4区数学 Q1 MATHEMATICS

Evolution Equations and Control Theory Pub Date : 2023-01-01 DOI:10.3934/eect.2023010

P. Verma, Ankik Kumar Giri, F. D. da Costa

引用次数: 3

Abstract

This paper examines the existence of solutions to the continuous Redner-Ben-Avraham-Kahng coagulation system under specific growth conditions on unbounded coagulation kernels at infinity. Moreover, questions related to uniqueness and continuous dependence on the data are also addressed under additional restrictions. Finally, the large-time behaviour of solutions is also investigated

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连续redner - ben - avraham - kahn凝聚系统:适定性和渐近行为

本文在无穷远无界混凝核上，研究了特定生长条件下连续redner - ben - avraham - kahn混凝体系解的存在性。此外，在附加的限制条件下，还讨论了与数据的唯一性和连续依赖性有关的问题。最后，还研究了解的大时态

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Evolution Equations and Control Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.10

自引率

6.70%

发文量

期刊介绍： EECT is primarily devoted to papers on analysis and control of infinite dimensional systems with emphasis on applications to PDE''s and FDEs. Topics include: * Modeling of physical systems as infinite-dimensional processes * Direct problems such as existence, regularity and well-posedness * Stability, long-time behavior and associated dynamical attractors * Indirect problems such as exact controllability, reachability theory and inverse problems * Optimization - including shape optimization - optimal control, game theory and calculus of variations * Well-posedness, stability and control of coupled systems with an interface. Free boundary problems and problems with moving interface(s) * Applications of the theory to physics, chemistry, engineering, economics, medicine and biology