Time asymptotics for a Becker--Döring-type model of aggregation with collisional fragmentation

DOI10.1016/j.physd.2004.01.045zbMath1098.82613OpenAlexW1987715662MaRDI QIDQ1885838

Dariusz Wrzosek, Philippe Laurençot

Publication date: 12 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2004.01.045

zbMATH Keywords

Liapunov functionalBecker--Döring modelCoagulation and fragmentation of clustersInfinite system of differential equations

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Ordinary differential equations of infinite order (34A35) Attractors of solutions to ordinary differential equations (34D45)

Cites Work

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• The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation.
• Semigroups of linear operators and applications to partial differential equations
• The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
• The Becker-Döring model with diffusion: II. Long time behavior
• Metastable states for the Becker-Döring cluster equations
• Existence and uniqueness of density conserving solutions to the coagulation-fragmentation equations with strong fragmentation
• Trend to equilibrium in the Becker-Doring cluster equations
• Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data
• A study of the nonlinear breakage equation: analytical and asymptotic solutions
• The discrete coagulation equations with collisional breakage.

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