Object

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

Creator:

Pawłow, Irena : Autor ; Zajączkowski, Wojciech : Autor

Date issued/created:

2006

Resource type:

Text

Subtitle:

Raport Badawczy = Research Report ; RB/7/2006

Publisher:

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

Place of publishing:

Warszawa

Description:

36 pages ; 21 cm ; Bibliography p. 36

Abstract:

In this paper we prove the existence and sometime regularity of weak so­lutions to a three-dimensional (3-D) Cahn-Hilliard system coupled with nonstationary elasticity. 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 to be presented in a forthcoming paper

Relation:

Raport Badawczy = Research Report

Detailed Resource Type:

Report

Resource Identifier:

oai:rcin.org.pl:139703

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

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