Dynamics of a non-autonomous ODE system occurring in coagulation theory

DOI10.1007/s10884-006-9067-5zbMath1170.34036OpenAlexW2148541791MaRDI QIDQ2427401

Rafael Sasportes, Fernando Pestana Da Costa

Publication date: 13 May 2008

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10400.2/1465

zbMATH Keywords

coagulation equationsasymptotic evaluation of integralsself-similar behaviourdynamics of non-autonomous ODEs

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Asymptotic properties of solutions to ordinary differential equations (34D05) Applications of statistical mechanics to specific types of physical systems (82D99)

Related Items (1)

Rates of Convergence to Scaling Profiles in a Submonolayer Deposition Model and the Preservation of Memory of the Initial Condition

Cites Work

• Unnamed Item
• Unnamed Item
• The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
• Metastable states for the Becker-Döring cluster equations
• Existence of self-similar solutions to Smoluchowski's coagulation equation
• Similarity solutions of a Becker–Döring system with time-dependent monomer input
• Approach to self‐similarity in Smoluchowski's coagulation equations
• Dynamical Scaling in Smoluchowski's Coagulation Equations: Uniform Convergence
• Rigorous Results in the Scaling Theory of Irreversible Aggregation Kinetics

This page was built for publication: Dynamics of a non-autonomous ODE system occurring in coagulation theory