Object structure
Title:

New Existence Result for 3-D Shape Memory Model

Subtitle:

Raport Badawczy = Research Report ; RB/63/2005

Creator:

Pawłow, Irena

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2005

Description:

24 pages ; 21 cm ; Bibliography p. 23-24

Subject and Keywords:

Nonlinear thermoelasticity ; Nieliniowa termoelastyczność ; Viscosity ; Capillarity ; Shape memory ; Efekt pamięci kształtu ; Global existence ; Globalne istnienie ; Lepkość ; Kapilarność

Abstract:

The paper presents a new existence result for three-dimensional (3-D) shape memory model which has the form of a nonlinear thermoelastic­ity system with viscosity ν > 0 and capillarity ϰ > 0. In contrast to the previous authors results, proved under assumption 0 < 2 ϰ1/2 < ν, here we admit ϰ > 0 and ν > 0 possibly arbitrarily small. With such as­sumption the obtained existence result becomes more adequate for shape memory problems where viscosity effects are negligible small. Moreover, a broader class of boundary conditions is considered. The solvability analysis of the initial-boundary-value problems for viscoelasticity system with capillarity is also presented.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2005-63

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

×

Citation

Citation style: