Symmetries of population balance equations for aggregation, breakage and growth processes

DOI10.1016/J.AMC.2017.02.048zbMath1411.82045OpenAlexW2603992172MaRDI QIDQ1736132

Adrian E. Flood, Fubiao Lin, Sergey V. Meleshko

Publication date: 29 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.02.048

zbMATH Keywords

Lie groupsexact solutionsintegro-differential equationpopulation balance equationpreliminary group classification

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Statistical mechanics of crystals (82D25) Integro-partial differential equations (35R09)

Related Items (3)

Exact solutions of the population balance equation including particle transport, using group analysis ⋮ Studies on population balance equation involving aggregation and growth terms via symmetries ⋮ Exact solutions of population balance equations for breakage and growth processes, using group analysis

Cites Work

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• Well-posedness of Smoluchowski's coagulation equation for a class of homogeneous kernels
• Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term
• Group analysis of kinetic equations

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