The Cahn-Hilliard-Gurtin system coupled with elasticity

• Autorzy: Bartkowiak L. , Pawłow I.
• Języki publikacji: EN

Abstrakty

EN

The paper concerns the existence of weak solutions to the Cahn-Hilliard-Gurtin system coupled with nonstationary elasticity. The system describes phase separation process in elastically stressed material. It generalizes the Cahu-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.

Słowa kluczowe

EN

Cahn-Hilliard-Gurtin model; phase separation; elasticity system; existence of weak solutions

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2005
• Tom: Vol. 34, no 4
• Strony: 1005--1043
• Opis fizyczny: Bibliogr. 36 poz.

Twórcy

autor

Bartkowiak L.

• Extramural doctoral course Systems Research Institute, Polish Academy of Sciences Newelska 6, 01-447 Warsaw, Poland

autor

Pawłow I.

• Systems Research Institute, Polish Academy of Sciences Newelska 6, 01-447 Warsaw, Poland, Institute of Mathematics and Operations Research Military University of Technology S. Kaliskiego 2, 00-908 Warsaw, Poland

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