Trend to equilibrium solution for the discrete Safronov-Dubovskiĭ aggregation equation with forcing

Das A, Saha J (2023)

Publication Type: Journal article, Original article

Publication year: 2023

Journal

Proceedings of the Royal Society of Edinburgh Section A-Mathematics Cambridge University Press (CUP)

DOI: 10.1017/prm.2023.116

Abstract

We consider the discrete Safronov-Dubovskiĭ aggregation equation associated with the physical condition, where particle injection and extraction take place in the dynamical system. In application, this model is used to describe the aggregation of particle-monomers in combination with sedimentation of particle-clusters. More precisely, we prove well-posedness of the considered model for a large class of aggregation kernel with source and efflux coefficients. Furthermore, over a long time period, we prove that the dynamical model attains a unique equilibrium solution with an exponential rate under a suitable condition on the forcing coefficient.

Authors with CRIS profile

Arijit Das Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

National Institute of Technology, Tiruchirappalli (NIT Trichy) IN India (IN)

How to cite

APA:

Das, A., & Saha, J. (2023). Trend to equilibrium solution for the discrete Safronov-Dubovskiĭ aggregation equation with forcing. Proceedings of the Royal Society of Edinburgh Section A-Mathematics. https://doi.org/10.1017/prm.2023.116

MLA:

Das, Arijit, and Jitraj Saha. "Trend to equilibrium solution for the discrete Safronov-Dubovskiĭ aggregation equation with forcing." Proceedings of the Royal Society of Edinburgh Section A-Mathematics (2023).

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