A note on the kinetic equations of coagulation

DOI10.1216/jiea/1181075604zbMath0766.34010OpenAlexW2068416242MaRDI QIDQ1188454

Marshall Slemrod

Publication date: 13 August 1992

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075604

zbMATH Keywords

fixed pointinitial value problemnonlinear integral equationcluster dynamicsgelationLeyvras and Tschudi solutionSmoluchowski-Flori-Stockmayer discrete equations of coagulation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Transport processes in time-dependent statistical mechanics (82C70) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items

Existence and uniqueness for spatially inhomogeneous coagulation equation with sources and effluxes, Existence and uniqueness for spatially inhomogeneous coagulation-condensation equation with unbounded kernels, On the positivity of solutions to the Smoluchowski equations, Existence, Uniqueness and Mass Conservation for the Coagulation-Fragmentation Equation

Cites Work

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• The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
• Convergence to equilibrium in a system of reacting polymers
• An existence theorem for the discrete coagulation-fragmentation equations
• ON AN INFINITE SET OF NON-LINEAR DIFFERENTIAL EQUATIONS
• A Global Existence Theorem for Smoluchowski's Coagulation Equations
• Coagulation with fragmentation
• Singularities in the kinetics of coagulation processes