Instantaneous gelation in coagulation dynamics

DOI10.1007/BF00916423zbMath0761.76011OpenAlexW2072224864MaRDI QIDQ1202577

Fernando Pestana Da Costa, Jack Carr

Publication date: 14 February 1993

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

Full work available at URL: https://doi.org/10.1007/bf00916423

zbMATH Keywords

densitybinary interactionsdynamics of cluster

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items (15)

Mathematical theory of exchange-driven growth ⋮ An introduction to mathematical models of coagulation--fragmentation processes: a discrete deterministic mean-field approach ⋮ Asymptotic behavior of solutions to the coagulation-fragmentation equations. II: Weak fragmentation ⋮ Gelation for Marcus-Lushnikov process ⋮ The discrete Safronov-Dubovskiĭ aggregation equation: instantaneous gelation and nonexistence theorem ⋮ Pathwise large deviations for the pure jump \(k\)-nary interacting particle systems ⋮ Fast fusion in a two-dimensional coagulation model ⋮ On the positivity of solutions to the Smoluchowski equations ⋮ Subcritical, critical and supercritical size distributions in random coagulation-fragmentation processes ⋮ Analytic fragmentation semigroups and classical solutions to coagulation-fragmentation equations -- a survey ⋮ On the dynamic scaling behaviour of solutions to the discrete smoluchowski equations ⋮ On the fundamental solution of a linearized homogeneous coagulation equation ⋮ Existence and NonExistence for the Collision-Induced Breakage Equation ⋮ Unnamed Item ⋮ A model for coagulation with mating

Cites Work

• The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
• Singularities in the kinetics of coagulation processes

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