Self-similar behaviour for noncompactly supported solutions of the LSW model

DOI10.1007/s10955-007-9456-0zbMath1214.82065OpenAlexW2023790909MaRDI QIDQ2482259

Juan J. L. Velazquez

Publication date: 16 April 2008

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://eprints.ucm.es/id/eprint/12700/1/2005selfsimilar-21.pdf

zbMATH Keywords

integral equationsOstwald ripeningmultiple scales analysisSchwartzian derivativeLSW modelselfsimilar behaviour

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21)

Cites Work

• Unnamed Item
• Correctors and error estimates in the homogenization of a Mullins-Sekerka problem
• Derivation of the LSW-theory for Ostwald ripening by homogenization methods
• Non-self-similar behavior in the LSW theory of Ostwald ripening
• A numerical study on large-time asymptotics of the Lifshitz--Slyozov system
• The Becker-Döring equations and the Lifshitz-Slyozov theory of coarsening
• Asymptotic behaviour of solutions to a simplified Lifshitz-Slyozov equation
• Screening in interacting particle systems
• Global Stability and Bounds for Coarsening Rates Within the Mean-Field Theory for Domain Coarsening
• On the Initial-Value Problem in the Lifshitz--Slyozov--Wagner Theory of Ostwald Ripening
• On the convergence to the smooth self-similar solution in the LSW model
• Ostwald ripening: The screening length revisited

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