Title:

Global Regular Solutions to Cahn-Hilliard System Coupled With Viscoelasticity

Subtitle:

Raport Badawczy = Research Report ; RB/12/2008

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:

54 pages ; 21 cm ; Bibliography p. 53-54

Subject and Keywords:

Cahn-hilliard ; Phase separation ; Elastic solids ; Równanie cahna-hilliarda ; Existence and uniqueness ; Absorbing estimates ; Ciała sprężyste ; Istnienie i jednoznaczność

Abstract:

In the paper, the existence and uniqueness of a global in time, regular solution to the Cahn-Hilliard system coupled with vis­coelasticity are proved. The system arises as a model, regularized by a viscous damp­ing, of phase separation process in a binary deformable alloy quenched below a critical temperature.The key tool in the analysis are estimates of absorbing type with the property of exponentially time-decreasing contribution of the initial data.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2008-12

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