Absence of Gelation and Self-Similar Behavior for a Coagulation-Fragmentation Equation

DOI10.1137/140976236zbMath1396.82013arXiv1407.1596OpenAlexW2950153687MaRDI QIDQ5256608

Philippe Laurençot, Henry J. van Roessel

Publication date: 19 June 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.1596

zbMATH Keywords

Laplace transformmass conservationself-similaritycoagulationcharacteristicssingular fragmentation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Interacting particle systems in time-dependent statistical mechanics (82C22) First-order nonlinear hyperbolic equations (35L60) Laplace transform (44A10) Geometric theory, characteristics, transformations in context of PDEs (35A30) Self-similar solutions to PDEs (35C06) Integro-partial differential equations (35R09)

Related Items (6)

Mass-conserving solutions to coagulation-fragmentation equations with nonintegrable fragment distribution function ⋮ On the energy cascade of 3-wave kinetic equations: beyond Kolmogorov-Zakharov solutions ⋮ Temporal oscillations in Becker–Döring equations with atomization ⋮ Mass-conserving self-similar solutions to coagulation–fragmentation equations ⋮ Coagulation-fragmentation model for animal group-size statistics ⋮ Coagulation and universal scaling limits for critical Galton–Watson processes

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