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Continuum limits of particles interacting via diffusion

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Publication:1773504
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DOI10.1155/S1085337504310080zbMath1073.35058MaRDI QIDQ1773504

Georgia Karali, Giorgio Fusco, Nicholas D. Alikakos

Publication date: 29 April 2005

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51717


zbMATH Keywords

Mullins-Sekerka modelOstwald ripeningLifshitz-Slyozov-Wagner theory


Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Singular perturbations in context of PDEs (35B25) Singular perturbations of ordinary differential equations (34D15) Initial value problems for nonlinear first-order PDEs (35F25) Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics (82C24)


Related Items (4)

On thermodynamically consistent Stefan problems with variable surface energy ⋮ Ostwald ripening in two dimensions -- the rigorous derivation of the equations from the Mullins-Sekerka dynamics ⋮ Qualitative behavior of solutions for thermodynamically consistent Stefan problems with surface tension ⋮ Mixed weak-perturbative solution method for Maxwell's equations of diffusion with Müller's partial stress tensor in the low velocity limit




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