Title:

Long Time Behaviour of Cahn-Hilliard System Coupled with Viscoelasticity

Subtitle:

Raport Badawczy = Research Report ; RB/11/2008

Creator:

Pawłow, Irena

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2008

Description:

23 pages ; 21 cm ; Bibliography p. 23

Subject and Keywords:

Cahn-hilliard ; Phase separation ; Równanie cahna-hilliarda ; Viscoelasticity system ; Long-time behaviour ; Lepkosprężystość

Abstract:

In this paper the long-time behaviour of a unique regular solution to the Cahn-Hilliard system coupled with viscoelasticity is studied. The system arises as a model of phase separation process in a binary deformable alloy. It is proved that for a sufficiently regular initial data the trajectory of the solution converges to the \omega-limit set of these data. Moreover, it is shown that every element of the \omega-limit set is a solution of the corresponding stationary problem.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2008-11

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