Metadata language
Weak Solutions to 3-D Cahn-Hilliard System in Elastic Solids
Subtitle:Raport Badawczy = Research Report ; RB/7/2006
Creator:Pawłow, Irena ; Zajączkowski, Wojciech
Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:34 stron ; 21 cm ; Bibliografia s. 32-34
Subject and Keywords:Cahn-hilliard ; Nonstationary elasticity ; Phase separation ; Weak solutions ; Separacja faz
Abstract:In this paper, the existence and sometime regularity of weak solutions to a three-dimensional Cahn-Hilliard system coupled with nonstationary elasticity are proved. Such nonlinear parabolic-hyperbolic system arises as a model of phase separation in deformable alloys. The regularity result is based on the analysis of time differentiated problem by means of the Faedo-Galerkin method. The obtained regularity provides a first step to the proof of strong solvability of the problem.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
Terms of use:Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -
Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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