On the similarity solution of the fragmentation equation

DOI10.1088/0305-4470/30/7/030zbMath0942.82020OpenAlexW2091257030MaRDI QIDQ4248521

Richard P. Treat

Publication date: 22 August 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/30/7/030

zbMATH Keywords

similarity solutionMeijer \(G\)-functionlinear differential-integral equationlinear homogeneous fragmentation equationpolynomial daughter-distributionvolume-conserving daughter-fragment distribution

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Applications of hypergeometric functions (33C90)

Related Items (7)

Explicit solutions to some fragmentation equations with growth or decay* ⋮ Island nucleation inside a one-dimensional gap with hindered aggregation ⋮ Stability of selfsimilar solutions to the fragmentation equation with polynomial daughter fragments distribution ⋮ A note on the self-similar solutions to the spontaneous fragmentation equation ⋮ On the Approximate Solution and Modeling of the Kernel of Nonlinear Breakage Population Balance Equation ⋮ On the existence of moments of solutions to fragmentation equations ⋮ Exact self-similar solutions to the fragmentation equation with homogeneous discrete kernel

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