Title:

On a Class of Sixth order Viscous Cahn- Hilliard Type Equations

Subtitle:

Raport Badawczy = Research Report ; RB/10/2011

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:

2011

Description:

30 pages ; 21 cm ; Bibliography p. 29-30

Subject and Keywords:

Sixth order cahn-hilliard type equation ; Równanie szóstego rzędu typu Cahna-Hilliarda ; Oil-water-surfactant mixtures ; Mieszaniny olej-woda-surfaktant ; Existence of global regular solutions ; Istnienie globalnych regularnych rozwiązań

Abstract:

In this paper, an initial-boundary-value problem for a class of sixth order viscous Cahn-Hilliard type equations with a nonlinear diffusion is considered. The study is motivated by phase-field modelling of various spatial structures, for example arising in oil-water-surfactant mixtures and in modelling of crystal growth on atomic length, known as phase field crystal model. For such problem the existence and uniqueness of a global in time regular solution is proved.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2011-10

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