Title:

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:

Warszawa

Date issued/created:

2004

Description:

46 pages ; 21 cm ; Bibliography p. 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:

Text

Detailed Resource Type:

Report

Source:

RB-2004-02

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open