HOMOGENIZATION IN COARSENING SYSTEMS I: DETERMINISTIC CASE

DOI10.1142/S021820250400360XzbMath1082.35023MaRDI QIDQ5315618

Barbara Niethammer, Juan J. L. Velazquez

Publication date: 9 September 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

Mullins-Sekerka probleminhomogeneous Lifshitz-Slyozov model

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integro-partial differential equations (45K05) Stefan problems, phase changes, etc. (80A22) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (6)

On thermodynamically consistent Stefan problems with variable surface energy ⋮ Sedimentation of inertialess particles in Stokes flows ⋮ Qualitative behavior of solutions for thermodynamically consistent Stefan problems with surface tension ⋮ The method of reflections, homogenization and screening for Poisson and Stokes equations in perforated domains ⋮ Homogenization for the Poisson equation in randomly perforated domains under minimal assumptions on the size of the holes ⋮ Screening in interacting particle systems

Cites Work

• Derivation of the LSW-theory for Ostwald ripening by homogenization methods
• The equations of Ostwald ripening for dilute systems
• Global well-posedness for an inhomogeneous LSW-model in unbounded domains
• On the effect of stochastic fluctuations in the dynamics of the Lifshitz-Slyozov-Wagner model
• Front migration in the nonlinear Cahn-Hilliard equation

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