Title:

Initial-Boundary-Value Problem for the Sixth Order Cahn Hillard Type Equation Arising in Oil-Water-Surfacant Systems

Subtitle:

Raport Badawczy = Research Report ; RB/2/2010

Creator:

Pawłow, Irena ; Zajączkowski, Wojciech

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2010

Description:

37 pages ; 21 cm ; Bibliography p. 36-37

Subject and Keywords:

Sixth order cahn-hilliard type equation ; Równanie szóstego rzędu typu Cahna-Hilliarda ; Existence of strong ; Istnienie silnego ; Large-time solution ; Oil-water-surfactant system ; Układ olej-woda-środek powierzchniowo czynny

Abstract:

The paper deals with the initial-boundary-value problem for the sixth order Cahn-Hilliard type equation in 3-D. The problem describes dynamics of phase transitions in ternary oil-water-surfactant systems. It is based on the Landau-Ginzburg theory proposed for such systems by G. Gompper et al. It has been proven that the problem under consideration is well-posed in the sense that it admits the unique large-time, regular solution which depends continuously on the initial datum.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2010-02

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