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The Cahn-Hilliard-Gurtin System Coupled with Elasticity
Subtitle:Raport Badawczy = Research Report ; RB/2/2004
Creator:Bartkowiak, Łukasz ; Pawłow, Irena
Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:46 stron ; 21 cm ; Bibliografia s. 44-46
Subject and Keywords:Cahn-hilliard ; Phase separation ; Cahn-hilliard-gurtin model ; Elasticity system ; Existence of weak solutions
Abstract:The paper is concerned with the existence of weak solutions to the Cahn-Hilliard-Gurtin system coupled with non- stationary elasticity. The system describes phase separation process in elastically stressed material. It generalizes the Cahn- Hilliard equation by admitting a more general structure and by coupling diffusive and elastic effects. The system is studied with the help of a singularly perturbed problem which has the form of a well-known phase field model coupled with elasticity. The established existence results are restricted to the homogeneous problem with gradient energy tensor and elasticity tensor independent of the order parameter.
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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