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Article

Colli, Pierluigi ; Krejčí, Pavel ; Rocca, Elisabetta ; Sprekels, Jürgen
Nonlinear evolution inclusions arising from phase change models. (English). Czechoslovak Mathematical Journal, vol. 57 (2007), issue 4, pp. 1067-1098
MSC: 34G25, 35B40, 35G25, 35G30, 47J35, 74H40, 82B26, 82C24 | MR 2357581 | Zbl 1174.35021
Keywords:
nonlinear and nonlocal evolution equations; Cahn-Hilliard type dynamics; phase transitions models; existence; uniqueness; long-time behaviour
Summary:
The 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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