On equilibrium solution to a singular coagulation equation with source and efflux

DOI10.1016/j.cam.2022.114909zbMath1504.35136OpenAlexW4306933285MaRDI QIDQ2104082

Jitendra Kumar, Jayanta Paul, Debdulal Ghosh

Publication date: 9 December 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114909

zbMATH Keywords

closed-form solutionexplicit solutionsingular kernelsequilibrium solutioncoagulation equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Initial value problems for nonlinear first-order PDEs (35F25) Solutions to PDEs in closed form (35C05) Integro-partial differential equations (35R09)

Cites Work

• Unnamed Item
• An accurate and efficient discrete formulation of aggregation population balance equation
• Closed-form solutions of certain Abel equations of the first kind
• Existence of mass conserving solution for the coagulation-fragmentation equation with singular kernel
• Existence and uniqueness for spatially inhomogeneous coagulation equation with sources and effluxes
• Uniqueness of solutions to the coagulation-fragmentation equation with singular kernel
• Existence and uniqueness of steady-state solution to a singular coagulation-fragmentation equation
• An existence theorem for the discrete coagulation-fragmentation equations
• On a First Order Partial Differential Equation with Nonlocal Nonlinearity
• The singular kernel coagulation equation with multifragmentation
• Trend to Equilibrium for the Coagulation-Fragmentation Equation

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