Existence and uniqueness theorem for the Safronov-Dubovski coagulation equation

DOI10.1007/s00033-013-0360-yzbMath1298.34029OpenAlexW1970870550MaRDI QIDQ743554

D. Kharzeev

Publication date: 25 September 2014

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-013-0360-y

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Ordinary lattice differential equations (34A33)

Related Items (6)

Mass-conserving weak solutions to Oort-Hulst-Safronov coagulation equation with singular rates ⋮ Existence, uniqueness and mass conservation for Safronov-Dubovski coagulation equation ⋮ The discrete Safronov-Dubovskiĭ aggregation equation: instantaneous gelation and nonexistence theorem ⋮ Theoretical analysis of a discrete population balance model with sum kernel ⋮ On the global solutions of discrete Safronov-Dubovskiǐ aggregation equation ⋮ Global existence of solutions to the discrete Safronov-Dubovskiǐ coagulation equations and failure of mass-conservation

Cites Work

• The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
• On the coagulation-fragmentation equation
• Gelation in coagulation and fragmentation models
• A Scalar Transport Equation
• A `triangle' of interconnected coagulation models
• On the Oort--Hulst--Safronov Coagulation Equation and Its Relation to the Smoluchowski Equation
• From the discrete to the continuous coagulation–fragmentation equations

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