Weak Solutions to 3-D Cahn-Hilliard System in Elastic Solids - Digital Repository of Scientific Institutes

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

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

Creator:

Pawłow, Irena ; Zajączkowski, Wojciech

Date issued/created:

Resource type:

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:

Description:

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

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

Detailed Resource Type:

Resource Identifier:

oai:rcin.org.pl:139703

Source:

Language:

Language of abstract:

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.

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Subject and keywords:

Cahn-hilliard Nonstationary elasticity Phase separation Weak solutions Separacja faz

Object collections:

Last modified:

Oct 19, 2021

In our library since:

Sep 17, 2020

Number of object content hits:

3

All available object's versions:

https://rcin.org.pl/publication/175163

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Raporty Badawcze

Edition name	Date
RB-2006-07 : Pawłow Irena, Zajączkowski Wojciech Marek : Weak Solutions to 3-D Cahn-Hilliard System in Elastic Solids	Oct 19, 2021

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