Correctors and error estimates in the homogenization of a Mullins-Sekerka problem

DOI10.1016/S0294-1449(01)00085-3zbMath1003.82007OpenAlexW1988792712MaRDI QIDQ697655

Barbara Niethammer, Adriana Garroni

Publication date: 17 September 2002

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2002__19_4_371_0

zbMATH Keywords

first-order phase transformationMullins-Sekerka free boundary problem

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Phase transformations in solids (74N99) Free boundary problems for PDEs (35R35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Homogenization, determination of effective properties in solid mechanics (74Q99)

Related Items (max. 100)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global asymptotic limit of solutions of the Cahn-Hilliard equation
• Derivation of the LSW-theory for Ostwald ripening by homogenization methods
• Non-self-similar behavior in the LSW theory of Ostwald ripening
• The equations of Ostwald ripening for dilute systems
• Ostwald ripening for dilute systems under quasistationary dynamics
• On the effect of stochastic fluctuations in the dynamics of the Lifshitz-Slyozov-Wagner model
• Change of variables for absolutely continuous functions
• Existance uniqueness and regularity of classical solutions of the mullins—sekerka problem
• On the Initial-Value Problem in the Lifshitz--Slyozov--Wagner Theory of Ostwald Ripening
• Ostwald ripening: The screening length revisited

This page was built for publication: Correctors and error estimates in the homogenization of a Mullins-Sekerka problem