Title:

Weak Solutions to 3-D Cahn-Hilliard System in Elastic Solids

Subtitle:

Raport Badawczy = Research Report ; RB/7/2006

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:

2006

Description:

34 pages ; 21 cm ; Bibliography p. 32-34

Subject and Keywords:

Cahn-hilliard ; Nonstationary elasticity ; Phase separation ; Weak solutions ; Separacja faz

Abstract:

In this paper, the existence and sometime regularity of weak solutions to a three-dimensional Cahn-Hilliard system coupled with nonstationary elasticity are proved. Such nonlinear parabolic-hyperbolic system arises as a model of phase sep­aration in deformable alloys. The regularity result is based on the analysis of time differentiated problem by means of the Faedo-Galerkin method. The obtained regular­ity provides a first step to the proof of strong solvability of the problem.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2006-07

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