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.
| 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 |


