Nonlinear evolution inclusions arising from phase change models

Please always quote using this URN: urn:nbn:de:0296-matheon-3478

This paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.

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Metadaten
Author:Pierluigi Colli, Pavel Krejci, Elisabetta Rocca, Jürgen Sprekels
URN:urn:nbn:de:0296-matheon-3478
Referee:Fredi Tröltzsch
Language:English
Date of first Publication:19.12.2006
Tag:Cahn-Hilliard type dynamics; Nonlinear and nonlocal evolution; equations; existence; long-time behaviour; models; phase transitions; uniqueness
Institute:Freie Universität Berlin
Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
Project:C17 Adaptive multigrid methods for local and nonlocal phase-field models of solder alloys
MSC-Classification:35G25 Initial value problems for nonlinear higher-order equations
47J35 Nonlinear evolution equations [See also 34G20, 35K90, 35L90, 35Qxx, 35R20, 37Kxx, 37Lxx, 47H20, 58D25]
74H40 Long-time behavior of solutions
82B26 Phase transitions (general)
Preprint Number:Matheon Preprint #360